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Equations: 7x+4y = 9 and 2x+3y = 1

Multiply all terms in the 1st equation by 2 and all terms in the 2nd equation by 7

So: 14x+8y = 18 and 14x+21y = 7

Subtract the 1st equation from the 2nd equation: 13y = -11 => y = -11/13

By substituting y = -11/13 into any of the equations x = 23/13

Therefore the solutions are: x = 23/13 and y = -11/13

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