Q32. - Algebra 1

Question

Solve each equation. Check your solution.

$-\frac{t}{7}=\frac{1}{15}$

Step-by-Step Solution

Answer

The required solution is $t=-\frac{7}{15}$.

Step 1. Write the given information.

The given equation is: $-\frac{t}{7}=\frac{1}{15}$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} -\frac{t}{7}=\frac{1}{15} \\ -t=\frac{1}{15}\times \left(7\right) \\ t=-\frac{7}{15} \end{gathered}$$

Step 3. Checking solution.

Substitute $t=-\frac{7}{15}$ in the given equation, we get

$$\begin{gathered} -\frac{t}{7}=\frac{1}{15} \\ -\frac{\left(-\frac{7}{15}\right)}{7}=\frac{1}{15} \\ -\left(-\frac{7}{15}\right)\times \frac{1}{7}=\frac{1}{15} \\ \frac{1}{15}=\frac{1}{15} \end{gathered}$$

Hence, proved.