Q75. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

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

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

Step 3 – 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 $y=\frac{11-2x}{3}$.