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Question 666962: 5x+3y=-11
2x+4y=-10
Answer by MatrixWoman(6)   (Show Source):
You can put this solution on YOUR website! This problem can be solved by many different methods, by elimanation or the one about to show you.
You are going to want to take the first equation times -2
Then take your second equation times 5
The reason you are doing this is because when you take -2 times 5 you will get -10 and then when you take 5 times 2 in your second equation you will get a positive 10 which will make those cancel out.(you want to cancel out the x value)
-2(5x+3y=-11)
5(2x+4y=-10)
after multiplying it should look like this:
-10x+-6y=22
10x+20y=-50
Then you simply add the two equations together
0x+14y=-28
solve for y
y=-2
Then pick one of your original equations and plug in your known y value
5x+3(-2)=-11
5x+-6=-11
5x=-5
x=-1
You can then check the x and y value in the other equation to make sure it is correct.
2(-1)+4(-2)=-10
and both of the values worked which means we got the right answer! :)
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