What is the sum of the solutions of 2 |3x − 2| - 6 = −4 ?
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jgeertz
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2 l3x-2l -6 = -4
Move -6 to the right side of the equation by adding 6 to both sides.
2 l3x-2l = 6-4
Subtract 4 from 6 to get 2.
2 l3x-2l = 2
Divide each term in the equation by 2.
2 l3x-2l = 2
______ ___
2 2
Simplify the equation.
l3x-2l = 1
Remove the absolute value by placing a +/- on the right side of the equation.
3x-2 = +/- (1)
Set up the + solution.
3x-2=1
3x=3
x=1
Now set up the - solution.
3x-2 = -1
3x=2-1
3x=1
x= 1/3
The solution set of the equation is x= 1, 1/3
The sum of the solution set is 1 + 1/3 = 1 1/3
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