Question

Solve each equation for $\mathbf{y}$.

$\mathbf{x}+\mathbf{y}=\mathbf{9}$

Short answer

The required solution is $y=9-x$.

Step-by-step solution

– State the concept

An equation solved for y gives an equation where y is the only thing on the left-hand side and the other terms are on the right-hand side.

– List the given data

The given equation is $x+y=9$.

– Solve for y 

$x+y=9$ (Given equation)

$x+y-x=9-x$ (Subtract x from both sides)

$y=9-x$ (Simplify)

So, the required solution is $y=9-x$.