How do I solve simultaneous equations with two variables?

[lloydowen]

Homework Statement

I am asked to find the two variables in a simulatenous equation. Now I have found one variable but unsure on how to find the other (P2).

Homework Equations

$5p1 - 4p2 = 49$
$3p1 + 2p2 = 3$

The Attempt at a Solution

$5p1 - 4p2 = 49$ (Multiply by 2)
$3p1 + 2p2 = 3$ (Multiply by 4)

$10p1 = 98$
$12p1=12$

Add the two together

$22p1=110$
$p1=5$ (110 divided by 22)

 

[ArcanaNoir]

plug the value of p1 back into either equation to find p2. Actually, put it back into both to make sure you get the same answer for p2 each time.

 

[lloydowen]

plug the value of p1 back into either equation to find p2. Actually, put it back into both to make sure you get the same answer for p2 each time.

Thank you! I couldn't quite remember what to do.

So what I got was
$(5(5) - 49)/4 = -6$
$(5(3) - 3)/2 = -6$

So $P2 = -6$ Thanks!