Question

Problem 1

1.a. Use addition or subtraction to rewrite the equation.
13 POINTS

Enter the new equation as your answer.
7x - 3 = -17
Enter your answer
2.b. Use multiplication or division to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer. *
(1 Point)
Enter your math answer

Answer 1

1. 7x = -14
2. x = -2

Explanation:

1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...

7x -3 +3 = -17 +3

7x = -14

__

2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...

7x/7 = -14/7

x = -2

_____

Additional comment

Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:

7x -3 -95 = -17 -95 ⇒ 7x -98 = -112 . . . . . subtract 95 from both sides

12(7x -98) = 12(-112) ⇒ 84x -1176 = -1344 . . . . multiply both sides by 12

The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.