SOLUTION: Solve the system of equations using the elimination method. 2a + 3b = -1 3a + 5b = -2

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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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