X+6y=29
2x-4y=-6
Solve for x in the first equation

Answers

Answer 1
Solve for x:
x + 6 y = 29 Subtract 6 y from both sides:
Answer:  x = 29 - 6 y
why did you add the second?
Answer 2

Final answer:

To solve for x in the equation X + 6y = 29, subtract 6y from both sides to isolate x, resulting in x = 29 - 6y. The solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]

Explanation:

To solve for [tex]\( x \)[/tex] in the first equation [tex]\( x + 6y = 29 \)[/tex], we can isolate [tex]\( x \)[/tex] by subtracting [tex]\( 6y \)[/tex] from both sides of the equation:

[tex]\[ x + 6y - 6y = 29 - 6y \][/tex]

[tex]\[ x = 29 - 6y \][/tex]

Now, we can substitute this expression for [tex]\( x \)[/tex] into the second equation [tex]\( 2x - 4y = -6 \):[/tex]

[tex]\[ 2(29 - 6y) - 4y = -6 \][/tex]

First, distribute the 2:

[tex]\[ 58 - 12y - 4y = -6 \][/tex]

Combine like terms:

[tex]\[ 58 - 16y = -6 \][/tex]

Next, isolate the term with [tex]\( y \)[/tex] by adding [tex]\( 16y \)[/tex] to both sides:

[tex]\[ 58 - 16y + 16y = -6 + 16y \][/tex]

[tex]\[ 58 = -6 + 16y \][/tex]

Now, isolate [tex]\( y \)[/tex]by subtracting 6 from both sides:

[tex]\[ 58 - 6 = 16y \][/tex]

[tex]\[ 52 = 16y \][/tex]

Finally, solve for [tex]\( y \)[/tex] by dividing both sides by 16:

[tex]\[ \frac{52}{16} = y \][/tex]

[tex]\[ y = \frac{13}{4} \][/tex]

Now that we have found the value of [tex]\( y \)[/tex], we can substitute it back into the expression we found for[tex]\( x \)[/tex]:

[tex]\[ x = 29 - 6\left(\frac{13}{4}\right) \][/tex]

[tex]\[ x = 29 - \frac{39}{2} \][/tex]

[tex]\[ x = \frac{58}{2} - \frac{39}{2} \][/tex]

[tex]\[ x = \frac{19}{2} \][/tex]

Therefore, the solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]


Related Questions

what is the distance between 16 and 52

Answers

well thats easy u just switch the number to 52 subtract 16 and u would get 36 and to check if the answer is right u would just add 36 plus 16 and it would be 52 so the answer would be the distance is 36 

hope this helps and please thank me on my profile page and i will dot he same for u :)
36. If you solve the problem 52-16 you will get 36. Distance is just a fancy work for subtract.

How do you complete a square root problem?

Answers

Say our problem was the square root of 4. You would look for what two numbers multiplied by themselves would equal that number. We know 2 multipled by 2 is equal to 4. (Aka 2^2). 

Hope this helps. 
Just as subtraction is the inverse operation of addition and division is the inverse operation of multiplication, the square root operation is the inverse of the squaring operation.

Algebraically, you can see the analogues between operations and their inverses:

Addition solves problems like 6 + 7 = x, while subtraction solves problems like 6 + x = 7

Multiplication solves problems like 7 * 5 = x, while division solves problems like 5x = 7

Squaring solves problems like 2^2 = x, while square rooting solves problems like x^2 = 2

What is the value of negative 3.25 times negative 1.56

Answers

5.07 the value of the seven is the hundredths place and the 2 is in the tenths place and so on....

Hope this helped............ 

if z=2 what is z+6? This is a practice question.

Answers

The answer to your question is 8, because you replace z with 2
z+6 would be 2+6=8 because you put the two in the place of z.

brett hoped to get 100 pumpkins from his garden this year. since the weather was favorable 20% more pumpkins grew then he xpected. unfortuntely animals ate 30% of all the pumpkins the grew A) how many pumpkins were left B) is the final number of pumpkins more than or less then he hoped?

Answers

A) 94
I think its hard to understand

A produce stand sells a basket of 12 apples for $6. If the unit price of an apple is the same , what is the price for a basket of 18 apples?

Answers

The price for a basket of 18 apples is $9. :)
i think the price would be $9, since they were sold 2 for $1.

Community Gym charges a $40 membership fee and a $50 monthly fee. Workout Gym charges a $210 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answers

Final answer:

To find the number of months it will take for the total amount of money paid to both gyms to be the same, set up an equation and solve for x. After 17 months, the total amount paid to both gyms will be $870.

Explanation:

To find the number of months it will take for the total amount of money paid to both gyms to be the same, we need to set up an equation and solve for x. Let x represent the number of months.



For Community Gym, the total cost after x months is: 40 (membership fee) + 50x (monthly fee).



For Workout Gym, the total cost after x months is: 210 (membership fee) + 40x (monthly fee).



Setting up the equation:



40 + 50x = 210 + 40x



10x = 170



x = 17



After 17 months, the total amount of money paid to both gyms will be the same, which is $870.

7 teachers share 1 liter of cappuccino. If you make 3 litters of cappuccino, how many teachers can drink cappuccino? If you need to make enough cappuccino for 74 teachers, how many liters would you need to make?

Answers

Part A - If you make 3 liters of cappuccino for the teachers and want to find out many teachers drink from the liter, you need to find the unit rate which is 7 Teachers to 1 Cappuccino. So, that means it is 21 teachers can drink 3 liters. 

Part B - For this part, you have to do 74 divided by 7 which rounds to about 10.57.
Final answer:

If 3 liters of cappuccino are made, 21 teachers can drink it. To have enough cappuccino for 74 teachers, approximately 10.57 liters would be needed.

Explanation:

To answer the first part of the question, we can use a proportion to find out how many teachers can drink cappuccino if 3 liters are made. Since 7 teachers share 1 liter, we can set up the proportion: 7 teachers / 1 liter = x teachers / 3 liters. Solving for x, we get x = 21 teachers. Therefore, 21 teachers can drink cappuccino.

For the second part of the question, we can use a similar proportion to find how many liters of cappuccino would be needed for 74 teachers. From the previous proportion, we know that 7 teachers share 1 liter. So, we can set up the proportion: 7 teachers / 1 liter = 74 teachers / x liters. Solving for x, we get x = 10.57 liters. Therefore, you would need to make approximately 10.57 liters to have enough cappuccino for 74 teachers.

Please be 100 correct! I'll give brainiest to who's correct.

Answers

A = L*W
A = 6.75 * 4.5
A = 30.375

answer
D. 30.375 in^2

------------------
A = L*W
A = 9 * 14
A = 126

answer
C. 126 ft^2
You find the area of a rectangle by multiplying the length times the height, so for the first one it would be 4.5×6.75, and that’s 30.375.

The answer for the first one is 30.375 inches squared.

Then we do the same for the second one, 14×9. That gives us 126.

The answer for the second one is 126 feet squared. 

if you needed to triple a recipe, would the ratio change? Explain.

Answers

Yes the ratio would change because it needs 3 times more than the original amount so you would multiply it by 3

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = -16t2 + 112t + 30 How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary

Answers

The expression for the height is given in quadratic expression form

Ax² + Bx + C

Where A, B, and C are constant

To find the x-coordinate when the graph reaches maximum/minimum, we use the formula

x = -B ÷ 2A

We have

h = -16t² + 112t + 30
The value for A = -16, B = 112, and C = 30

Substitute these into x = -B ÷ 2A we have
t = -112 ÷ (2×-16) = 3.5

The maximum height is reached when t = 3.5 sec 

The height when t = 3.5 sec is given
h = -16(3.5)² + 112(3.5) + 30 = 226 feet

Answer:

3.5 s; 226 ft is correct.

Step-by-step explanation:

An employee earns $255 for 15 hours of work. Assuming he is paid by the hour, how much will he earn in 8 hours?

Answers

First divide 255 from 15 hours to get the amount he gets payed per hour

255/15 = 17 dollars per hour

Then multiply 17 to 8 hours to get the total for 8 hours

17 x 8 = 136

He makes $136 in 8 hours

hope this helps
First you do $255/15= 17 dollars per hour. Then you have to multiply 17*8= 136. So he would get $136 in 8 hrs.


Hope this helps!

Two stores sell the same television for the same original price. Store A advertises that the television is on sale for 30% off the original price. Store B advertises that it is reducing the television’s price by $250. When Allison compares the sale prices of the television in both stores, she concludes that the sale prices are equal. Let p represent the television’s original price. Which equation models this situation? 0.7(p−250)=p 0.3=p−250 0.7p=p−250 0.3p = p + 250

Answers

30% off so sale price is 70%

 so 0.7p = p-250

Answer:

Musiclover10045 is correct! I took the test and the correct answer is in fact:

0.7p = p - 250!

Thanks, mate!

Cheers!


The number 9 has only one prime Factors, 3. What is another number less than 50 with only one prime factor

Answers

The answer is the number 4
Another numberless than 50 with only one prime factor is 2

7x + 55 ≥ 300. Solve this inequality for x.
identify a number of pages that the student could read per day in order to have at least 300 pages of the novel read in a week.

Answers

The number of pages is 35

To solve the inequality 7x + 55 ≥ 300 for x, we first subtract 55 from both sides to isolate the term with x:

7x + 55 - 55 ≥ 300 - 55

7x ≥ 245

Divide by 7 to solve for x:

x ≥ 35

This means the student needs to read at least 35 pages per day to have 300 pages of the novel read in a week.

explain why two employees at a company, earning the same gross pay, might have different net pays.

Answers

There could be extra tips or they could be taxed differently

Step-by-step explanation:

Gross pay:

  Gross pay can be define as the wage before paying any taxes and all other deductions.

Net pay:

 Net pay can be define as the wages after paying all taxes and all other deductions.

So we can say that

Gross pay = Net pay +   taxes and all other deductions

So from above equation we can say that ,even two employees have same gross pay but can have different net pays .Because maybe they are paying different taxes and other deductions.

line r is parallel to line t. find m<6. The diagram is not to scale

Answers

m <3 + 138 =190
so m<3 = 180 -138 = 42
r ans t are parallel so m<3 = m<6 then m<6 = 42

answer C.42

All movies until 4:00 p.m require a discount ticket, and all movies after 4:00 p.m require a regular-price ticket.Each theater at the movieplex seats 98 people. What is the least number of showings the theater could have shown after 4:00 p.m last Saturday ? Explain how you found your answer. The discount ticket is 208 the regular price is 1248

Answers

209 is the answer to you problem hope it helps

What is the slope of the graph?

Answers

The slope is -2.

Slope is the change in y divided by the change in x between any two points on the line.
1.Pick two points on the line and determine their coordinates.
2.Determine the difference in y-coordinates of these two points (rise).
3. Determine the difference in x-coordinates for these two points (run).
4. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope)

100 POINTS IF YOU ANSWER CORRECTLY Rotate these coordinates 180 around the origin and then translate 6 units to the left.

Answers

Original Coordinates: (-2, -8) (-6, -8) (-11, -1) (-7, -3)

A 180 degree rotation around the origin flips the signs of x and y, so you get:

(2, 8) (6, 8) (11, 1) (7, 3)

Then a translation to the left 6 units just subtracts 6 from all the x values:

(-4, 8) (0, 8) (5, 1) (1, 3)

Those are your points! Hope this helped!

Hello!


When you flip the coordinates and move them 6 units to the left your coordinates would be: (-4, 8) (0, 8) (5, 1) (1, 3)

The hypotenuse of a right triangle is 15 inches, and one of its legs is 11 inches. Find the length of the other leg.

Answers

I believe that the other side is 10.2

If that is not it then maybe round it the the answer 10


Hope this helps!

Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored points in the game. what is the expression (what is the numeric form) in this equation?

Answers

7x minus 2 equal 14. Expression

what multiplication expression can you use to solve 2 divided by 8 4/5?

Answers

2*(5/44)

Dividing fractions means take the reciprocal of the second fraction then multiply
Find the reciprocal of 8 4/5
44/5 becomes 5/44
Then multiply by 2

The Jensen family took a trip in September. Sally is calculating the gas mileage in miles per gallon for her dads SUV. When he fills the tank ,her dad records the miles on the SUV as 24033. Her dad pays $83.58 I fill up the empty gas tank of the SUV. At the destination, there was a quarter tank of gas left in the vehicle and the miles where recorded as 24,297. Use a ratio equation to determine the gas mileage in miles per gallon for the trip. Round your answer to the nearest whole.

Answers

Answer:

The gas mileage formula in miles per gallon (mpg) is:



[tex]gas mileage=\frac{miles driven}{gallons used}[/tex]   (1)



We know that Sally’s dad filled the tank when it was empty and the miles recorded in the SUV were 24033 miles.



We also know that at the destination, there was a quarter tank of gas left in the vehicle and the miles were recorded as 24297 miles.  


This means that the miles driven during the whole trip were 894 miles:



[tex]24927 miles-24033 miles=894 miles[/tex]



If at the beginning the tank was full and at the end is left with a quarter tank ([tex]\frac{1}{4}[/tex]), this means that the car wasted [tex]\frac{3}{4}[/tex] of the tank:



[tex]\frac{4}{4}-\frac{1}{4}=\frac{3}{4}[/tex]




Now, SUVs come in so many different sizes and models, hence it is difficult to assume an average size for a SUV gas tank. It may vary from the smaller ones that hold 16.5 gallons to larger SUVs that hold from 28 to 33.5 gallons.


In this case let’s assume that the tank holds 28 gallons


Then, if 1 tank holds 28 gallons, [tex]\frac{3}{4}[/tex] of a tank holds 21 gallons.



Knowing this, let’s apply the mileage formula ( equation 1):



[tex]\frac{894 miles}{21 gallons}=42.571mpg[/tex]    


If we round the result we have, the gas mileage in miles per gallon for the Jensen’s SUV is 43mpg



Domain, first element, and y -value all have the same meaning.
True Or False

Answers

Answer:

False

Step-by-step explanation:

Hi there!

The domain refers to the possible x-values in a function.

The first element refers to the first member in a set of data (example: In the set {1, 2, 3}, 1 is the first element).

The y-value of a coordinate refers to the y-coordinate (example: In the ordered pair (4,9), 9 is the y-value or y-coordinate).

Therefore, the three terms all have different meanings.

I hope this helps!

a car travels an average speed of 64 miles per hour. how many miles does it travel in 5 hours and 15 minutes?

Answers

Distance is speed or velocity multiplied by time: d = v * t

We know the speed of the car and the time it travelled, so input the two into the equation above and solve for the distance travelled.

d = v * t

d = 64 m/h * (5 hours and 15 minutes) = 64 m/h * (5.25 hours)

d = (64 * 5.25) miles


d = 336 miles

0.249 in expanded form

Answers

Final answer:

The expanded form of the number 0.249 is the sum of each digit multiplied by its place value, which is 0.2 + 0.04 + 0.009.

Explanation:

The question asks to write the number 0.249 in expanded form. The expanded form of a number is the sum of each digit multiplied by its place value. For the number 0.249, the expanded form is:

2/10 + 4/100 + 9/1000

This can also be written as:

0.2 + 0.04 + 0.009

Breaking down the number 0.249 into its decimal place values helps one understand how each digit contributes to the overall value of the number.

Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

Answers

The line would be divided into 4 sections.

Evaluate 10s 3t for s = 3 and t = 7.

Answers

all you're doing is plugging in the number where the variable is, when theres no space between them, its multiplication . - 10x3x3x7 = 630. 

An online retailer sells two packages of protein bars. Package 10−pack of 2.3 ounce bars 12−pack of 1.6 ounce bars Cost ($) 17.35 16.97 Which package has the better price per bar?

Answers

I heard that before, where did you see that, and 10 packs

Answer:

Package 10−pack of 2.3 ounce bars has the better price per bar

Step-by-step explanation:

Case 1) Package 10−pack of 2.3 ounce bars Cost ($) 17.35

Cost of Package 10−pack of 2.3 ounce bars = 17.35

Cost of Package 1−pack of 1 ounce bars = [tex]\frac{17.35}{10 \times 2.3}[/tex]

                                                                   = [tex]0.7543[/tex]

2)  12−pack of 1.6 ounce bars Cost ($)16.97

Cost of Package 12−pack of 1.6 ounce bars = 16.97

Cost of Package 1−pack of 1 ounce bars = [tex]\frac{16.97}{12 \times 1.6}[/tex]

                                                                   = [tex]0.8838[/tex]

Hence  Package 10−pack of 2.3 ounce bars has the better price per bar

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A formula that helps you calculate how long it will take for your savings to double is the Rule of 72. Steve purchases a new car with a down payment and a loan at a 4.9% interest rate. His loan contract is for 60 months and has no prepayment penalties. Steve makes all his payments on time. What should he do if he wants to pay his loan off before 60 months has passed?make more than the minimum paymentsuse the down payment to pay down the loan increase his auto insurance premiums to decrease the amount owedpay the principal and interest due each month If you were studying psychology and sociology, which of the citation styles would you typically use in your research papers? _____ refers to the way people live, how they spend their time and money, what activities they pursue, and what their attitudes and opinions are about the world they live in. geographers often say that the geography can be understood in terms of different ______ or in terms of different _____ Domain, first element, and y -value all have the same meaning.True Or False What memorial in washington dc honors the author of the declaration of independence? The first part of the Declaration of Independence is ___.the preamble - the introductionannouncing that the colonies are now an independent nation, the United States of Americasection defending the idea of separation from a governmentsection listing the wrongs of the British government and how it failed to correct these wrongs A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = -16t2 + 112t + 30 How long does it take the boulder to reach its maximum height? What is the boulders maximum height? Round to the nearest hundredth, if necessary Maintaining other friendships is important in a healthy dating relationship.A. TrueB. False Which of these energy resources was not created by by the Sun's energy? petroleum uranium coal The velocity of a spinning gyroscope drops from 12 rad/s to 6 rad/s due to deceleration of -1.2 rad/s^2. how much time expires during this process? how many radians does the top spin during the process? Which particle is used to determine the atomic number of an element? A)Electron B)Neutron C)Proton D)Soutron In Microsoft Word, when you highlight existing text you want to replace, you are inA.automatic mode.B.basic mode.C.typeover mode.D.insert mode. 3. Which is one use for a hyperlink? (1 point)to create a heading styleto animate important textto create a link to a website.to hyphenate words.i think it would be c Which is the primary consumer in this food chain? mc011-1.jpg rabbit grass snake hawk The quotient of two numbers subtracted from 20 When reinforcing behavior on an interval schedule, reinforcement is delivered contingent on the organism? What did humanism impact on religion Two stores sell the same television for the same original price. Store A advertises that the television is on sale for 30% off the original price. Store B advertises that it is reducing the televisions price by $250. When Allison compares the sale prices of the television in both stores, she concludes that the sale prices are equal. Let p represent the televisions original price. Which equation models this situation? 0.7(p250)=p 0.3=p250 0.7p=p250 0.3p = p + 250 Steam Workshop Downloader