Q73. - Algebra 2

Question

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

$\mathbf{5}\mathbf{x}-\mathbf{2}\mathbf{y}-\mathbf{1}=\mathbf{0}$

Step-by-Step Solution

Answer

The required solution is $y=\frac{5x-1}{2}$.

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 $5x-2y-1=0$.

Step 3 – Solve for y

$5x-2y-1=0$ (Given equation)

 

$5x-2y-1+2y=0+2y$ (Add $2y$ to both sides)

 

$5x-1=2y$   (Simplify)

 

$2y=5x-1$   (Rearrange)

 

$\frac{2y}{2}=\frac{5x-1}{2}$ (Divide both sides by 2)

 

$y=\frac{5x-1}{2}$ (Simplify)

 

So, the required solution is $y=\frac{5x-1}{2}$.