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What are the coordinates of the points of intersection of x-2y equals 8 and xy equals 24?
Wiki User
∙ 13y ago
Using:
x - 2y = 8
y = (x - 8)/2
Substituting in:
xy = 24
=> x(x - 8)/2 = 24
=> x2 - 8x = 48
=> x2 - 8x - 48 = 0
=> (x - 12)(x + 4) = 0
=> x = 12 or -4
=> y = 2 or -6 respectively (since xy = 24) ie the points (12, 2) and (-4, -6)
Wiki User
∙ 13y ago
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