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At what point do the lines y=x-4 and 2x+y=2 intersect?
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5 votes
At what point do the lines y=x-4 and 2x+y=2 intersect?

User Phoenix Mu
by
5.2k points

1 Answer

3 votes

Answer:

  • (2, -2)

Explanation:

Given

  • y = x - 4
  • 2x + y = 2

Solving by substitution

  • 2x + (x - 4) = 2
  • 3x - 4 = 2
  • 3x = 6
  • x = 2

Then finding y

  • y = x - 4
  • y = 2 - 4
  • y = -2

Intersection point is (2, -2)

User Janiiik
by
5.1k points
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