Solve using the addition and multiplication principles together.
-7x + 9 = 51 + 7x
A)No Solution
B)All real numbers
C)39
D)35

Question

Quizplus · Accepted Answer

When we simplify both sides of the equation, we get:
7x + 9 = 51 + 7x
9 = 51
This is not true for any value of x, so the equation has no solution. Therefore, the best choice is A. Adding or subtracting the same number to both sides of the equation will not change the outcome, as there are variables on both sides that cancel each other out. Therefore, the equation simplifies to:
9 = 51 
This is impossible, so there is no solution.

Solve Using the Addition and Multiplication Principles Together