Q74. - Algebra 2

Question

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

$\mathbf{3}\mathbf{x}-\mathbf{5}\mathbf{y}+\mathbf{4}=\mathbf{0}$

Step-by-Step Solution

Answer

The required solution is $y=\frac{3x+4}{5}$.

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 $3x-5y+4=0$.

Step 3 – Solve for y

$3x-5y+4=0$ (Given equation)

 

$3x-5y+4+5y=0+5y$ (Add $5y$ to both sides)

 

$3x+4=5y$  (Simplify)

 

$5y=3x+4$  (Rearrange)

 

$\frac{5y}{5}=\frac{3x+4}{5}$ (Divide both sides by 5)

 

$y=\frac{3x+4}{5}$  (Simplify)

 

So, the required solution is $y=\frac{3x+4}{5}$.