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[2x+y=5xz=0],[2x+2y=8]...

[2x+y=5xz=0],[2x+2y=8]

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The point of intersection of the diagonals of the rhombus formed by the lines 2x+y-5=0, x+2y+8=0, 2x+y+5=0, and x+2y-2=0 is

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find x and y : 2x+y-5=0 3x+2y-8=0

det[[2x,xy-xz,y2x+z+1,xy-xz+yz-z^(2),1+y3x+1,2xy-2xz,1+y]]

2x - 5y + 4= 0 , 2x + y - 8 = 0