Question

Solve each equation. Check your solution. (Lesson 2-3)

$9+\frac{y}{5}=6$

Short answer

The solution of the given equation is $y=-15$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$9+\frac{y}{5}=6$”.

Step 2. Solve the given equation.

Solving,

$9+\frac{y}{5}=6$ (Given equation)

$9+\frac{y}{5}-9=6-9$ (Subtract 9 from both sides)

$\frac{y}{5}=-3$ (Simplify)

$\frac{y}{5}\times 5=-3\times 5$ (Multiply both sides by 5)

$y=-15$ (Simplify)

So, $y=-15$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $y=-15$in the given equation $9+\frac{y}{5}=6$to get,

$\begin{array}{l}9+\frac{\left(-15\right)}{5}=6\\ 9+\left(-3\right)=6\\ 9-3=6\\ 6=6\end{array}$

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.