Question

Determine the solutions of the equation: the absolute value quantity two thirds times x plus 2 end quantity minus 8 equals 0 x = −9 and x = 9 x = −15 and x = 4 x = −15 and x = 9 x = −15 and x = 15

Answer 1

The solution to the given absolute value equation are x = 9 and-15

Solving absolute value expression

Given the absolute expression below;

|2/3x+2| -8 = 0

Solve the expression for the value of x

Given

|2/3x+2| -8 = 0

Add 8 to both sides

|2/3x+2| = 8

2/3x = 8 - 2

2/3x = 6

2x = 18

x = 9

If the modulus expression negative;

-(2/3x+2) -8 = 0

-2/3x - 2 = 8

-2/3x = 10

-2x = 30

x = -15

Hence the solution to the given absolute value equation are x = 9 and-15

Learn more on absolute value equation here: brainly.com/question/1542900

#SPJ1