Chapter 4.4, Problem 37PPS

To determine

To solve and check: the given equation

Answer to Problem 37PPS

The required solution is $z=0.9$

Explanation of Solution

Given:

  $-0.7=-\frac{7}{9}z$

Calculation:

Multiply both sides of equation by $-\frac{9}{7}$

  $-0.7\left(-\frac{9}{7}\right)=z$

  $z=0.9$

Solution:- $z=0.9$

Check

  $\begin{array}{l}\text{ Substitute }z=0.9\text{ in }-0.7=-\frac{7}{9}z\hfill \\ -0.7=-\frac{7}{9}(0.9)\hfill \end{array}$

  $-0.7=-0.7$

Left hand side = Right hand side

Hence verified. So solution is $z=0.9$

Conclusion:

Therefore, the required solution is $z=0.9$