SOLUTION: Solve the equation by first clearing the fractions or decimals. 50. -7/10 = 3/4a - 13/20 Any help with this equation would be <b>Greatly</b> appreciated.

Algebra ->  Equations -> SOLUTION: Solve the equation by first clearing the fractions or decimals. 50. -7/10 = 3/4a - 13/20 Any help with this equation would be <b>Greatly</b> appreciated.      Log On


   

Question 113196: Solve the equation by first clearing the fractions or decimals.
50. -7/10 = 3/4a - 13/20
Any help with this equation would be Greatly appreciated.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-7%2F10=%283%2F4%29a-13%2F20 Start with the given equation



%2820%29%28-7%2F10%29=%2820%29%28%283%2F4%29a-13%2F20%29 Multiply both sides by the LCM of 20. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



-14=15a-13 Distribute and multiply the LCM to each side



0=15a-13%2B14Add 14 to both sides


-15a=-13%2B14 Subtract 15a from both sides


-15a=1 Combine like terms on the right side


a=%281%29%2F%28-15%29 Divide both sides by -15 to isolate a



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Answer:
So our answer is a=-1%2F15 (which is approximately a=-0.0666666666666667 in decimal form)