How to solve a=9y+3yx
Therefore, the equation [tex]y = \frac{a}{9 + 3x}[/tex] represents y as a function of a and x, showing how changes in a and x affect the value of y.
The given equation a = 9y + 3yx is a literal equation, meaning it relates multiple variables (in this case, a and y) with constants. Our goal is to isolate y, which means we want y to be expressed solely in terms of a and x, without any other variables.
To do this, we first factor out the common factor y from the right side of the equation, leaving us with a = y(9 + 3x). This step simplifies the equation and makes it easier to isolate y.
Then, to solve for y, we divide both sides of the equation by (9 + 3x), effectively undoing the multiplication by (9 + 3x) on the right side. This leaves us with [tex]y = \frac{a}{9 + 3x}[/tex].
In this final expression, y is in terms of a and x, indicating that the value of y depends on the values of a and x. As a and x vary, the value of y changes accordingly, following the relationship described by the equation.
Complete Question:
Solve the literal equation for y.
a = 9y + 3yx
y =
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