Q15. - Algebra 1

Question

Solve each equation. Check your solution.

$\frac{y}{5}-6=8$

Step-by-Step Solution

Answer

The solution of the given equation is $y=70$.

Step 1. Write the given equation.

The given equation is “$\frac{y}{5}-6=8$”.

Step 2. Solve the given equation.

Solving,

 

$\frac{y}{5}-6=8$  (Given equation)

 

$\frac{y}{5}-6+6=8+6$  (Add 6 to both sides)

 

$\frac{y}{5}=14$  (Simplify)

 

$\frac{y}{5}\times 5=14\times 5$  (Multiply both sides by 5)

 

$y=70$  (Simplify)

 

So, $y=70$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $y=70$ in the given equation $\frac{y}{5}-6=8$ to get,

$\begin{array}{l}\frac{70}{5}-6=8\\ 14-6=8\\ 8=8\end{array}$ 

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.