SOLUTION: x/7+x/9=16/63.. need to know how to solve

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: x/7+x/9=16/63.. need to know how to solve      Log On


   

Question 654733: x/7+x/9=16/63.. need to know how to solve
Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the original equation:
x%2F7+%2B+x%2F9+=+16%2F63
we need to add the two x terms together. In order to do that, we need to find the lowest common denominator (LCD) of x/7 and x/9. Since 7 and 9 are relatively prime, the LCD is 7*9 = 63.
%289%2F9%29%2A%28x%2F7%29+%2B+%287%2F7%29%2A%28x%2F9%29+=+16%2F63
9x%2F63+%2B+7x%2F63+=+16%2F63
16x%2F63+=+16%2F63
Multiply both sides by 63:
63%2A%2816x%2F63%29+=+63%2A%2816%2F63%29
16x+=+16
x+=+1