Question 99604: Solve the system of equations using the elimination method.
2a + 3b = -1
3a + 5b = -2
Answer by elima(1433) (Show Source):
You can put this solution on YOUR website! With the elimination method, we want to eliminate one of the variables;
2a + 3b = -1
3a + 5b = -2
We will multiply the first equation with -3 and the second with 2, so we can eliminate the a;
-3(2a+3b=-1)
2(3a+5b=-2)
new equations;
-6a-9b=3
6a+10b=-4
Add the two equations together, and you can eliminate the a;
b=-1
Now plug the -1 into one of the original equations;
2a+3(-1)=-1
2a-3=-1
2a=2
a=1
:)
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