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What is the point of contact of y = 3x + 4 and 8x - 4y = 16

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xetatheta | Student, Kindergarten | Salutatorian

Posted September 23, 2013 at 2:51 AM via web

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What is the point of contact of y = 3x + 4 and 8x - 4y = 16

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 23, 2013 at 2:54 AM (Answer #1)

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The co-ordinates of the point at which the lines y = 3x + 4 and 8x - 4y = 16 intersect satisfies both the equations.

Substituting y = 3x + 4 in 8x - 4y = 16

=> 8x - 4(3x + 4) = 16

=> 8x - 12x - 16 = 16

=> -4x = 32

=> x = -8

y = -20

The point of intersection of the lines is (-8, -20)

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