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At what point do the lines y = x - 8 and y y = - 3x + 16 (4, - 4) (3 ) (0, 16) (2) (11, 3) ( ) (6, - 2)

1 Answer

3 votes

Answer:

(6, -2)

Explanation:

Correct question

At what point do the lines y = x - 8 and y = - 3x + 16 intersects?

Equating both expressions;

x - 8 = -3x+16

Collect like terms

x+3x = 16+8

4x = 24

x = 24/4

x = 6

Substitute x = 6 into any of the equation

Recall that y = x - 8

y = 6 - 8

y = -2

Hence the point (x, y) where they intersects is at (6, -2)

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