You can put this solution on YOUR website! 3x -7y = 10
5x +2y = 3
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Multiply the first equation by 2 and the second by 7, then add.
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6x -14y = 20
35x + 14y = 21
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41x = 41
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Divide both sides by 41.
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x = 41
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Ordinarily, you substitute at this point, but you can do another addition to find 'y'.
Simply multiply the first equation by 5 and the second by 3, then subtract.
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15x - 35y = 50
15x + 6y = 9
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-41y = 41
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y = -1
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To check, you can substitute these values to see if they produce the right answer.
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3x - 7y = 10 ??
3(1) -7(-1) = 10
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5x + 2y = 3 ??
5(1) +2(-1) = 3
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Answer: x=1, y = -1. This answer may be shown as the ordered pair (1,-1).
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If you were to graph the two equations, you would find they intersect there.
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-7y = -3x + 10
y = 3/7*x -10/7
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2y = -5x +3
y = -5/2*x + 3/2
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