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2x-3y=2 4x+7y= -9
2x=2+3y
2x=2+3y
2 2
x=2+3y 4(2+3y) + 7y= -9
2 2
8+12y + 7y= -9
2
8+12y+14y = -9
2
8+12y+14y= -18
26y= -26
26y = -26
26 26
y= -1
4x+7(-1)= -9
4x+(-7)= -9
4x-7= -9
4x = -2 now lets check,4(-1) + 7(-1)= -9 or 2(-1)-3(-1)=2
4 4 2 2
x=-1 -4 +(-7) = -9 -1-(-3)=2
2 2 -1+3=2
-2-7= -9 2=2
-9= -9
so the answer is x= -1 and y= -1
2