Question

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

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

Short answer

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

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 $4x+y=2$.

– 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 $y=2-4x$.