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Use elimination to solve for x and y,

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and they give us two equations here.

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x + 2y is equal to 6

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and

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4x - 2y is equal to 14

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so to solve, to solve by elimination

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what we do is we are going to add these two equations together

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so that one of the two variable essintially gets

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eliminated, gets cancelled out.

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what we can do right here

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we see we have a +2y here we see we have a -2y

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right over here. So clearly if we added these two

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together the y's would cancel out.

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So that's exactly what were going to do.

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were going to add the left side of this equation

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to the left side of this equation,

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and the right-hand side of that equation

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to the right hand side of the bottom equation.

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So to make it clear that this should make sense is

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were just using both of these constraints.

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Whenever you learn about any type of equation