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What are the coordinates of the points of intersection of x-2y equals 8 and xy equals 24?

Anonymous

∙ 14y ago

Updated: 4/28/2022

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

∙ 14y ago

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