Chapter 7.4, Problem 37E

To determine

To solve:the equation $7x=-42$

Answer to Problem 37E

The solution of equation $7x=-42$ is $x=-6$ .

Explanation of Solution

Given information:

Consider, the equation is,

  $7x=-42$

Calculation:

The value of equation is:

  $\begin{array}{l}7x=-42\\ x=-6\left[\text{divide both side with 7}\right]\end{array}$

To check the solution substitute the value $x=-6$ in the in the $7x$ if the result after substituting $-42$ then the solution is correct.

  $\begin{array}{l}7x\\ 7\cdot -6\left[\text{substitute }x\right]\\ -42\end{array}$

Hence, the solution is

  $x=-6$ and correct.