Question

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

75. $\mathbf{2}\mathbf{x}+\mathbf{3}\mathbf{y}-\mathbf{11}=\mathbf{0}$

Short answer

The required solution is $y=\frac{11-2x}{3}$.

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 $2x+3y-11=0$.

– Solve for y 

$2x+3y-11=0$ (Given equation)

$2x+3y-11-3y=0-3y$ (Subtract $3y$ from both sides)

$2x-11=-3y$(Simplify)

$-3y=2x-11$ (Rearrange)

$\frac{-3y}{-3}=\frac{2x-11}{-3}$(Divide both sides by -3)

$y=\frac{11-2x}{3}$ (Simplify)

So, the required solution is $y=\frac{11-2x}{3}$.