SOLUTION: How would I use the elimination method? 2a+b=3 -3a-2b=-1

Algebra ->  Equations -> SOLUTION: How would I use the elimination method? 2a+b=3 -3a-2b=-1      Log On


   

Question 938284: How would I use the elimination method?
2a+b=3
-3a-2b=-1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2a%2Bb=3...........eq.1
-3a-2b=-1.........eq.2
_____________________multiply eq.1 by 2
4a%2B2b=6...........eq.1
-3a-2b=-1.........eq.2
_____________________....... add eq.1 and eq.2
4a%2Bcross%282b%29-3a-cross%282b%29=6-1
highlight%28a=5%29
go to eq.1 or eq.2, substitute 5 for a and solve for b
2a%2Bb=3...........eq.1
2%2A5%2Bb=3
10%2Bb=3
b=3-10
highlight%28b=-7%29