Q29. - Algebra 1

Question

Solve each equation. Check your solution.

$-\frac{k}{5}=\frac{7}{5}$

Step-by-Step Solution

Answer

The required solution is $k=-7$.

Step 1. Write the given information.

The given equation is: $-\frac{k}{5}=\frac{7}{5}$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} -\frac{k}{5}=\frac{7}{5} \\ -k=\frac{7}{5}\times 5 \\ -k=7 \\ k=-7 \end{gathered}$$

Step 3. Checking solution.

Substitute $k=-7$ in the given equation, we get

$$\begin{gathered} -\frac{k}{5}=\frac{7}{5} \\ -\frac{\left(-7\right)}{5}=\frac{7}{5} \\ \frac{7}{5}=\frac{7}{5} \end{gathered}$$

Hence, proved.