Question

Solve each equation. Check your solution.

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

Short answer

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

Step-by-step solution

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.