Multiple choice

Which of the following pairs of linear equations when solved gives the values of x and y as 1 and 4, respectively?

  1. 2x + y = 6 and 2x - y + 2 = 0

  2. 2x - y = 6 and 2x + y - 2 = 0

  3. 2x + y + 6 = 0 and 2x - y = 2

  4. 2x + y + 6 = 0 and 2x - y + 2 = 0

  5. 2x + y = 6 and 2x - y = 2
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A Correct answer
Explanation

Substitute x=1 and y=4 into the equations. For option A: 2(1)+4=6 (True) and 2(1)-4+2=0 (True). All other options fail to satisfy both equations simultaneously.

AI explanation

We need to find the pair of linear equations that is satisfied when x = 1 and y = 4. Substituting these values into the first option gives 2(1) + 4 = 6, which simplifies to 6 = 6, and 2(1) - 4 + 2 = 0, which simplifies to 0 = 0. Since both equations hold true for the given values of x and y, this is the correct pair of equations.

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