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
1 answer:
The solution to the given absolute value equation are x = 9 and-15
<h3>Solving absolute value expression</h3>
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
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Step-by-step explanation:
An image showing the step by step solution is attached.