SOLUTION: 4 over 3x-1 equals 2 over x+3 And the answer is 7

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Question 878839: 4 over 3x-1 equals 2 over x+3
And the answer is 7
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%283x-1%29=2%2F%28x%2B3%29

A clever way to handle (or solve) this is multiply the right side by 1=2%2F2.
4%2F%283x-1%29=%282%2F%28x%2B3%29%29%282%2F2%29
4%2F%283x-1%29=4%2F%282%28x%2B3%29%29
The denominators must be equal:
3x-1=2%28x%2B3%29
3x-1=2x%2B6
3x-2x-1=6
x-1-6=6-6
x-7=0

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

4 over 3x-1 equals 2 over x+3
And the answer is 7


4%2F%283x+-+1%29+=+2%2F%28x+%2B+3%29

    2(3x - 1) = 4(x + 3) ---- Cross-multiplying since each side CONTAINS ONE (1) fraction

       6x - 2 = 4x + 12

      6x - 4x = 12 + 2

           2x = 14

            x+=+14%2F2, or highlight_green%287%29

You can do the check!! 



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