Chapter 1.1, Problem 29E

To determine

To solve the equation

  $-54=9s$

Answer to Problem 29E

  $s=-6$ is the solution.

Explanation of Solution

Given: Equation: $-54=9s$

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: $-54=9s$

To solve the equation, dividing $9$ 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.”

  $\begin{array}{l}-54=9s\\ \frac{-54}{9}=\frac{9s}{9}\\ s=-6\end{array}$

Thus, the solution is $s=-6$ .

Now, putting the value of $s=-6$ in the R.H.S. of the equation, we have:

  $9\times -6=-54$

And L.H.S. of the equation is $-54$ .

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

Thus, the solution is correct.

Conclusion:

Hence, the solution is $s=-6$ .