Chapter 0.5, Problem 4E

To determine

To solve the equation $\frac{8}{5}a=-6$

Answer to Problem 4E

  $a=\frac{-15}{4}$

Explanation of Solution

Given Information: $\frac{8}{5}a=-6$

Formula Used : Linear equations with one variable

Calculation:

Given equation is

  $\frac{8}{5}a=-6$

To isolate the variable a, multiply by $\frac{5}{8}$ both sides-

  $\frac{8}{5}\times \frac{5}{8}a=-6\times \frac{5}{8}$

To simplify further, write 6 and 8 as product of its factors-

  $a=-2\times 3\times \frac{5}{2\times 4}$

The 2 in numerator and denominator will cancel out

  $a=-3\times \frac{5}{4}$

Hence the final answer is

  $a=\frac{-15}{4}$