Q71. - Algebra 2

Question

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

71. $\mathbf{4}\mathbf{x}+\mathbf{y}=\mathbf{2}$

Step-by-Step Solution

Answer

The required solution is $y=2-4x$.

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 $4x+y=2$.

Step 3 – Solve for y

$4x+y=2$  (Given equation)

 

$4x+y-4x=2-4x$  (Subtract $4x$ from both sides)

 

$y=2-4x$   (Simplify)

 

So, the required solution is $y=2-4x$.