Q51. - Algebra 1

Question

Solve each equation. Check your solution.

$-5=3\frac{1}{2}x$

Step-by-Step Solution

Answer

The required solution is $x=-\frac{10}{7}$.

Step 1. Calculation.

Consider the given equation,

$$\begin{gathered} -5=3\frac{1}{2}x \\ -5=\frac{7}{2}x \\ x=-\frac{10}{7} \end{gathered}$$

Step 2. Checking solution.

Substitute $x=-\frac{10}{7}$ in the given equation, we get

$\begin{array}{l}-5=3\frac{1}{2}x\\ -5=\frac{7}{2}\left(-\frac{10}{7}\right)\\ -5=-5\end{array}$

Hence, proved.