Chapter 4.4, Problem 39PPS

To determine

To solve and check: the given equation

Answer to Problem 39PPS

The required solution is $m=\frac{-7}{27}$

Explanation of Solution

Given:

  $2\frac{1}{3}=-9m$

Calculation:

To solve equation and check the solution

  $2\frac{1}{3}=-9m$

Convert to improper fraction

  $\frac{7}{3}=-9m$

Multiply both sides of equation by -9

  $\frac{7}{3(-9)}=m$

  $m=\frac{-7}{27}$

Solution: $m=\frac{-7}{27}$

Check

Substitute $m=\frac{-7}{27}$ in $2\frac{1}{3}=-9m$

  $\frac{7}{3}=-9\left(\frac{-7}{27}\right)$

  $\frac{7}{3}=\frac{7}{3}$

Left hand side = Right hand side

Hence verified. So solution is $m=\frac{-7}{27}$

Conclusion:

Therefore, the required solution is $m=\frac{-7}{27}$