How do you do elimenation method

Put them one ender each other like this:

Code:

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3x + 7y = -1
2x + 3y =  6

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Now, you have to eliminate one of the terms, either x or y.

I'll show you how to eliminate x.

If you multiply everything in the first equation by 2 and the second equation by three, you get 6x + 14y = -2 and 6x + 9y = 18 respectively.

Now, put back one under the other:

Code:

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6x + 14y = -2
6x +  9y = 18

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See what I did? Now, x has the same coefficient (the number in front of x). Now, you can subtract the second equation from the first like an ordinary subtraction:

Code:

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6x + 14y =  -2  -
6x +  9y =  18
0x +  5y = -20

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Then, you have only one variable, which you can find the value.

Lastly, use that value of y in any of the two previous equations to find the value of x and you're done! :)

I hope it helped! :)