Q37. - Algebra 1

Question

Solve each equation. Check your solution.

$-\frac{2}{3}h=-22$

Step-by-Step Solution

Answer

The required solution is $h=33$.

Step 1. Write the given information.

The given equation is: $-\frac{2}{3}h=-22$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} -\frac{2}{3}h=-22 \\ -2h=-22\times 3 \\ h=\frac{-22\times 3}{-2} \\ h=11\times 3 \end{gathered}$$

Step 3. Checking solution.

Substitute $h=33$ in the given equation, we get

$$\begin{gathered} -\frac{2}{3}h=-22 \\ -\frac{2}{3}\times 33=-22 \\ -2\times 11=-22 \\ -22=-22 \end{gathered}$$

Hence, proved.