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x=1, y=1 looks a good guess which turns out to be correct. Add on half of the first equation to itself (so we get another "3x" equation) to get -3x-15y=-18. Now add the 2 equations to get rid of the 3x, giving you -9y=-9 or y=1. Use y=1 in either equation to get x=1.

In general you can turn one equation around to give x in terms of everything else. The substitute your expression for x into the other equation which will give you an simple equation for y only.

The method I used above found an expression for 3x rather than x alone because that's easier to substitute into the other equation.

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13y ago
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