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5x + 3y = 17 -12x + 2y = 4 The first thing you have to do is make one value the same in both equations. I'm going to make the y value the same by multiplying the first equation by 2 and the second equation by 3: 10x + 6y = 34 -36x + 6y = 12 Then, I'll subtract them from each other to get one equation, which will help me solve for X: 46x = 22 x = 11/23 You can then plug this right back in to the equation to find out the value for y. Give it a go and feel free to ask again if you're stuck.