SOLUTION: 8x+5y=6 3x-2y=10 *Here I have to slove each system by using elimination, and check my solution. I just don't understan it. Please help!

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Question 22404: 8x+5y=6
3x-2y=10
*Here I have to slove each system by using elimination, and check my solution. I just don't understan it. Please help!
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
The idea is to create the same number of "x's" or "y's" in both equations.
Then you subtract one equation from the other to eliminate that variable.
To get rid of the "x's" in your problem:
Multiply both sides of the 1st equation by 3 to get the following
24x + 15y = 18
Multiply both sides of the 2nd equation by 8 to get the following
24x - 16y = 80
Now, subtract the new 2nd equation from the new 1st equation to get
31y= -62
y= -2
Substitute that value of y into either of the original equations to
solve for x.
Cheers,
Stan H.