Solve simultaneously.
4x - y = 8
6x + y = 2
Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
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24x - 6y = 48
24x - 4y = 8
Subtract top from bottom to form one equation.
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-2y = 40
Therefore y is 20.
Put y back in to an equation, such as 4x - y = 8.
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4x - 20 = 8
4x = 28
x = 7
