SOLUTION: im nt sure how to answer this question its: solve abs(-3x+7)=9 i did 7-9=2, so -3x=2 x=.66 but this doesnt seem right to me could you help me please?

Question 514801: im nt sure how to answer this question its: solve abs(-3x+7)=9
i did 7-9=2, so -3x=2 x=.66 but this doesnt seem right to me could you help me please?
Found 2 solutions by jim_thompson5910, oberobic:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 9 and it's opposite -9

Now lets focus on the first equation

Subtract 7 from both sides

Combine like terms on the right side

Divide both sides by -3 to isolate x

Reduce

Now lets focus on the second equation

Subtract 7 from both sides

Combine like terms on the right side

Divide both sides by -3 to isolate x

Reduce

So the solutions to are:

or
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Since you're using the absolute value function, you need to solve:
-3x+7 = 9
and
-3x+7 = -9
.
-3x + 7 = 9
-3x = 2
x = -2/3
.
-3x +7 = -9
-3x = -16
x = 16/3
.
check to ensure both answers are correct.
.
-3(-2/3) + 7 = ??
+6/3 +7 = 2 + 7 = 9
correct
.
-3(16/3) + 7 = ??
-48/3 + 7 = -16 + 7 = -9
correct
.
Answer: x = -2/3 or 16/3
.
Done.
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