Q54. - Algebra 1

Question

Solve each equation. Check your solution.

$-\frac{2}{5}=-\frac{z}{45}$

Step-by-Step Solution

Answer

The required solution is $g=-10$.

Step 1. Write the given information.

The given equation is: $-\frac{g}{24}=\frac{5}{12}$

Step 2. Calculation.

Consider the given equation,

$\begin{array}{l}-\frac{g}{24}=\frac{5}{12}\\ g=-\frac{5}{12}\times 24\\ g=-10\end{array}$

Step 3. Checking solution.

Substitute $g=-10$ in the given equation, we get

$\begin{array}{l} -\frac{g}{24}=\frac{5}{12}\\ -\frac{\left(-10\right)}{24}=\frac{5}{12}\\ \frac{5}{12}=\frac{5}{12}\end{array}$

Hence, proved.