The elimination method solution of 3x-y=7 and -3x+3y=-1
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The 1st equation says that y = 3x-7
so use that in the 2nd equation and you have
-3x+3(3x-7) = -1
-3x+9x-21 = -1
6x = 20
x = 10/3
so y = 3(10/3)-7 = 3