SOLUTION: If f(x) = 2x + 5 and g(x) = ax - 7, find a (a as in the variable a) such that (f + g)(2) = 10.

Algebra ->  Equations -> SOLUTION: If f(x) = 2x + 5 and g(x) = ax - 7, find a (a as in the variable a) such that (f + g)(2) = 10.      Log On


   

Question 1073394: If f(x) = 2x + 5 and g(x) = ax - 7, find a (a as in the variable a) such that (f + g)(2) = 10.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
%28f%2Bg%29%28x%29=2x%2B5%2Bax-7

%28f%2Bg%29%28x%29=%282%2Ba%29%2Ax-2

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%28f%2Bg%29%282%29=%282%2Ba%29%2A%282%29-2=10
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4a%2B2a-2=10
2a%2B2=10
a%2B1=5
highlight%28a=4%29
(fixed)





------this part was wrong-------------------
4%2B4a-2=10
4a=10-4%2B2
4a=8
highlight%28cross%28a=2%29%29

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
The solution by "josgarithmetic" is WRONG.