SOLUTION: Solve. x/7 - 1/2 = x - 11/2 Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. x/7 - 1/2 = x - 11/2 Thank you.      Log On


   

Question 29747: Solve. x/7 - 1/2 = x - 11/2
Thank you.
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x%2F7%29+-+%281%2F2%29+=+x+-+%2811%2F2%29+
First you must get all the denominators to be the same. In this case 14.
multiply each fraction by (2/2) (7/7) (14/14)and (7/7) respectively

+%282x%2F14%29+-+%287%2F14%29+=+%2814x%2F14%29+-+%2877%2F14%29+
since this is an equation, and all denoms are all the same, we can drop them
+2x+-+7+=+14x+-+77+ subt 2x and add 77 to both sides
+2x+-+7+-+2x+%2B+77+=+14x+-+77+-+2x+%2B+77+
+-+7+%2B+77+=+14x+-+2x++ combine like terms
+70+=+12x+ divide by 12 and reduce
+70%2F12+=+12x%2F12+
+70%2F12+=+x+
+35%2F6+=+x+