4p + 2q = 8 and q = 2p +1 solve by substitution

3 answers

you have q = 2p+1
so, substitute into the other equation:

4p + 2(2p+1) = 8
4p + 4p + 2 = 8
8p = 6
p = 3/4
now you can get q.

be sure to check your answers in both equations, lest

a) you made a mistake
b) I made a mistake
4p + 2q = 8
q = 2p +1

Rearrange either so it aligns, I'll rearrange the bottom.

4p +2q = 8
-2p - q = 8 (subtract 2p from both sides)
Pick one that simplifies easily I'll use the 4p one.

4p + 2q = 8
2q = 8 - 4p
q = 4 -2p

Substitute q value for q in opposite equation

-2p + (4 - 2p) = 1
-2p + 4 - 2p = 1
-4p = -3
p = 3/4
plug p in to find q
Simplify: q – (7q + 1)
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