SOLUTION: solve the equation and check your answer: {{{ (q+6)/4 + (q-5)/5 = 11/4}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve the equation and check your answer: {{{ (q+6)/4 + (q-5)/5 = 11/4}}}      Log On


   

Question 398134: solve the equation and check your answer:
+%28q%2B6%29%2F4+%2B+%28q-5%29%2F5+=++11%2F4
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

+%28q%2B6%29%2F4+%2B+%28q-5%29%2F5+=+11%2F4 |multiplying each term by 20 so as all denominators = 1

+5%28q%2B6%29+%2B+4%28q-5%29+=++5%2A11

    9q + 10 = 55

      9q = 45

       q = 5