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9x2 + 24xy + 16y2 = 9x2 + 12xy + 12xy + 16y2 = 3x(3x + 4y) + 4y(3x + 4y) = (3x + 4y)*(3x + 4y) = (3x + 4y)2
3x-2y=24 (1)6x-4y=-6 (2)(1) => 6x-4y=48 [(1)*2](1)*2=(2)therefore:6x-4y = -6 AND 48-6 ≠ 48the equation cannot be solved
Subtract: 3x - 3x - 4y - 2y = 30 - 6 ie -6y = 24 so y = -4 and x = 14/3
3x - 4y = 24At the x-intercept, y=0 :3x = 24x = 8At the y-intercept, x=0 :-4y = 24y = -6
This simplifies to 3x-6+4y.