Posted by **natasha** on Thursday, October 18, 2012 at 3:53pm.

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

- algebra 2 -
**Steve**, Thursday, October 18, 2012 at 4:06pm
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

- algebra 2 -
**Joey**, Thursday, October 18, 2012 at 4:10pm
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

- algebra 2 -
**Anonymous**, Saturday, March 9, 2013 at 11:38am
Simplify: q – (7q + 1)

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