Multiple choice

Solve the equation: $x + y = 14$ and $x - y = 4$

  1. $x=9,y=5$
  2. $x=9,y=11$
  3. $x=9,y=4$
  4. $x=9,y=6$
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A Correct answer
Explanation

Adding the equations: (x+y) + (x-y) = 14 + 4, so 2x = 18, x = 9. Substituting x=9 into x+y=14 gives 9+y=14, so y=5.

AI explanation

We solve the system of linear equations x + y = 14 and x - y = 4 by using the method of elimination. Adding the two equations together yields 2x = 18, which simplifies to x = 9. Substituting x = 9 into the first equation gives 9 + y = 14, resulting in y = 5. The solution to the equations is x = 9 and y = 5.

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