Q57. - Algebra 1

Question

Write an equation for each sentence. Then solve the equation.

Two-third is equal to negative eight times a number.

Step-by-Step Solution

Answer

The equation is $\frac{2}{3}=-8x$

The required number is $-\frac{1}{12}$.

Step 1. Write the given information.

Given statement: Two-third is equal to negative eight times a number.

Step 2. Assumption.

Let the number be x.

Then, Required equation: $\frac{2}{3}=-8x$

Step 3. Calculation.

$\begin{array}{l}\frac{2}{3}=-8x\\ x=-\frac{2}{3}\times \frac{1}{8}\\ x=-\frac{1}{12}\end{array}$

Thus, the number is $-\frac{1}{12}$.