SOLUTION: if F(x)=3x-5 and G(x)=2x+3find the values of (p)in each of the following. f(p)=2g(p)

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Question 141985: if F(x)=3x-5 and G(x)=2x+3find the values of (p)in each of the following.
f(p)=2g(p)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given functions
f%28x%29=3x-5
g%28x%29=2x%2B3


Plug in x=p to evaluate f%28p%29
f%28p%29=3p-5


Plug in x=p to evaluate g%28p%29
g%28p%29=2p%2B3

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f%28p%29=2%2Ag%28p%29 Now move onto the second equation


3p-5=2%2Ag%28p%29 Plug in f%28p%29=3p-5


3p-5=2%2A%282p%2B3%29 Plug in g%28p%29=2p%2B3



3p-5=4p%2B6 Distribute


3p=4p%2B6%2B5Add 5 to both sides


3p-4p=6%2B5 Subtract 4p from both sides


-p=6%2B5 Combine like terms on the left side


-p=11 Combine like terms on the right side


p=%2811%29%2F%28-1%29 Divide both sides by -1 to isolate p



p=-11 Divide

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Answer:
So our answer is p=-11