Q22. - Algebra 1

Question

Solve each equation. Check your solution.

$\frac{22-w}{3}=-7$

Step-by-Step Solution

Answer

The solution of the given equation is $w=43$.

Step 1. Write the given equation.

The given equation is “$\frac{22-w}{3}=-7$”.

Step 2. Solve the given equation.

Solving,

 

$\frac{22-w}{3}=-7$  (Given equation)

 

$\frac{22-w}{3}\times 3=-7\times 3$  (Multiply both sides by 3)

 

$22-w=-21$  (Simplify)

 

$22-w-22=-21-22$  (Subtract 22 from both sides)

 

$-w=-43$  (Simplify)

 

$w=43$  (Cancel “-” from both sides)

 

So, $w=43$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $w=43$ in the given equation $\frac{22-w}{3}=-7$ to get,

$\begin{array}{l}\frac{22-43}{3}=-7\\ \frac{-21}{3}=-7\\ -7=-7\end{array}$ 

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.