Chapter 1.1, Problem 25E

To determine

To solve the equation

  $-8r=64$

Answer to Problem 25E

  $r=-8$ is the solution.

Explanation of Solution

Given: Equation: $-8r=64$

Formula Used:

The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.

Calculation:

Given: Equation: $-8r=64$

To solve the equation, dividing $5$ on both the sides as “division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.”

  $\begin{array}{l}-8r=64\\ \frac{-8r}{-8}=\frac{64}{-8}\\ r=-8\end{array}$

Thus, the solution is $r=-8$ .

Now, putting the value of $r=-8$ in the L.H.S. of the equation, we have:

  $-8\times -8=64$

And R.H.S. of the equation is $64$ .

Hence, L.H.S. $=$ R.H.S.

Thus, the solution is correct.

Conclusion:

Hence, the solution is $r=-8$ .