Chapter 1.8, Problem 42P

Open-Ended Write four equations that all have a solution of $-10.$

The equations should consist of one multiplication, one division, one addition, and one subtraction equation.

To determine

To Write: The four equations all having solution of $-10$

Answer to Problem 42P

Four equations are:

  $5x=-50$

  $\frac{x}{5}=-2$

  $x+15=5$

  $x-20=-30$

Explanation of Solution

Given:

Solution for all the equation should be $-10$

Calculation:

Equation for multiplication is:

  $x=-10$

Multiply both side by ‘5’

  $5x=-50$

Equation for division is:

  $\begin{array}{l}x=-10\\ \text{divide both side by 5}\\ \frac{x}{5}=-2\end{array}$

Equation for addition is:

  $\begin{array}{l}x=-10\\ \text{add both side 15}\\ x+15=5\end{array}$

Equation for subtraction is;

  $\begin{array}{l}x=-10\\ \text{subtract 20 from both sides}\\ x-20=-30\end{array}$