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AlgebraEasySystem whose solution is the origin

Algebra practice question

Which of the following systems has the solution (0, 0)?

  1. A. y = 2x and y = −xCorrect
  2. B. y = 2x + 1 and y = −x
  3. C. x = 1 and y = 0
  4. D. y = x + 1 and y = x + 2

Answer: A. y = 2x and y = −x

Both y = 2x and y = −x pass through the origin.

Why the other answers are wrong

B. y = 2x + 1 and y = −x
y = 2x + 1 gives y = 1 at x = 0.
C. x = 1 and y = 0
x = 1 is not 0.
D. y = x + 1 and y = x + 2
Parallel lines: no solution at all.

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