SOLUTION: I am completely stumped on this question. Given (f+g)(x)=10-3x and (f-g)(x)=5x-14, find f(x) and g(x). Thanks so much.

SOLUTION: I am completely stumped on this question. Given (f+g)(x)=10-3x and (f-g)(x)=5x-14, find f(x) and g(x). Thanks so much.

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Question 273851: I am completely stumped on this question.
Given (f+g)(x)=10-3x and (f-g)(x)=5x-14, find f(x) and g(x).
Thanks so much.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since , this means that . Solve for 'f(x)' to get

Also, because , we know that

Now plug into to get

Combine like terms to get

From here, simply solve for 'g(x)' (think of g(x) as any other variable). Once you have g(x), use that to find f(x).
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