Question

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

$-\mathbf{3}\mathbf{x}-\mathbf{y}+\mathbf{7}=\mathbf{0}$

Short answer

The required solution is $y=-3x+7$.

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 $-3x-y+7=0$.

– Solve for y 

$-3x-y+7=0$(Given equation)

$-3x-y+7+y=0+y$ (Add y to both sides)

$-3x+7=y$ (Simplify)

$y=-3x+7$ (Rearrange)

So, the required solution is $y=-3x+7$.