The solutions to the linear absolute value equation are x = 9/4 and x = -3
How to determine the solutions to the linear absolute value equation
From the question, we have the following parameters that can be used in our computation:
|-x + 18| = 7x
When the absolute bracket is removed, we have
-x + 18 = 7x and -x + 18 = -7x
Collect and evaluate the like terms
So, we have
8x = 18 and -6x = 18
Evaluate
x = 9/4 and x = -3
Hence, the solutions to the linear absolute value equation are x = 9/4 and x = -3
Question
Select all solutions to the linear absolute value equation | -x+18|=7x
a. x = -3
b. x = -2
c. x = 2
d. x = 3