xy + z = 9
Subtract 'z' from each side:
xy = 9 - z
Divide each side by 'x':
y = (9 - z) / x
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xy + x + y + 1 = (x + 1)(y + 1).
xy plus 2x plus 4y plus 8 or (xy+2x) + (4y+8) or x(y+2) + 4(y+2) or (x+4)(y+2)
That equals 2xy + 3y which factors to y(2x + 3)
9 plus 7 equals 144. Generally, x plus y = x(x+y).