SOLUTION: Hello, My math problem is: 12x + 131 = 189 + 3x It is telling me to solve the problem and check it. My answer is: x = 6 4/9 It is correct but when I do the checking, I can't

Algebra ->  Equations -> SOLUTION: Hello, My math problem is: 12x + 131 = 189 + 3x It is telling me to solve the problem and check it. My answer is: x = 6 4/9 It is correct but when I do the checking, I can't       Log On


   



Question 949128: Hello,
My math problem is: 12x + 131 = 189 + 3x
It is telling me to solve the problem and check it.
My answer is: x = 6 4/9
It is correct but when I do the checking, I can't seem to get it right? My answer for the check part:
12(6 4/9) + 131 = 189 + 3( 6 4/9)
77 22/3 + 131 = 189 + 19 1/3
But my score book says the right answer is:12(6 4/9) + 131 = 189 + 3( 6 4/9)
72 48/9 + 131 = 189 + 18 12/9
Please someone help? What am I doing wrong? Thank-you! I'm very confused.

Found 3 solutions by josgarithmetic, macston, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Basic Facts:
12%2A6=72;
3%2A6=18.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
12(6 4/9)=(12*6)+12(4/9)=72+48/912x + 131 = 189 + 3x
9x=58
x=58/9
CHECK:
72%2848%2F9%29+%2B+131+=+189+%2B++18%2812%2F9%29
Your problem is here:
12(6 4/9)=(12*6)+12(4/9)=72+48/9
Your answer of 77 22/3 is off. Maybe just a multiplication error.
The 19 1/3 is the same as 18 12/9 so that part is all right.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Hello,
My math problem is: 12x + 131 = 189 + 3x
It is telling me to solve the problem and check it.
My answer is: x = 6 4/9
It is correct but when I do the checking, I can't seem to get it right? My answer for the check part:
12(6 4/9) + 131 = 189 + 3( 6 4/9)
77 22/3 + 131 = 189 + 19 1/3
But my score book says the right answer is:12(6 4/9) + 131 = 189 + 3( 6 4/9)
72 48/9 + 131 = 189 + 18 12/9
Please someone help? What am I doing wrong? Thank-you! I'm very confused.
12%286%264%2F9%29 = 12(6) = 72, and 12%284%2F9%29+=+48%2F9
Therefore, 12%286%264%2F9%29 = 72+%2B+48%2F9, or 72%2648%2F9
If you'd done the correct calculations, you'd have gotten: 72%2616%2F3, which is the same as 72%2648%2F9, leading to:
72%2616%2F3+%2B+131+=+189+%2B+19%261%2F3
Continue with this, and you should get a TRUE equation.
OR
For the check, you could use the IMPROPER FRACTION 58%2F9 as opposed to the mixed number, 6%264%2F9
Therefore, you'd get: 12%2858%2F9%29+%2B+131+=+189+%2B+%2858%2F9%29

4%2858%29%2F3+%2B+131+=+189+%2B+58%2F3
232%2F3+%2B+131+=+189+%2B+58%2F3
232%2F3+%2B+393%2F3+=+567%2F3+%2B+58%2F3 ------ Multiplying by LCD, 3
232 + 393 = 567 + 58 ------- Simplifying NUMERATORS since all denominators are equal
625 = 625 (TRUE)