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You should use elimination. Firstly, multiply both equations so that the coefficients of the "x" variable are the same: 2(3x+4y=-17) --> 6x+8y=-34 3(2x+3y=-13) --> 6x+9y=-39 Now, do the elimination: 6x+8y=-34 - 6x+9y=-39 ------------------- -y=5 --> y=-5