Q72. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

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

Step 1 – 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.

Step 2 – List the given data

The given equation is $-3x-y+7=0$.

Step 3 – 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 $y=-3x+7$.