Multiple choice

Solve the following pair of equations: $13x+11y= 70$, $11x+13y= 74$

  1. $x= -1;y= 6$
  2. $x= 2;y= 4$
  3. $x= 3;y= -2$
  4. $x= 5;y= 7$
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B Correct answer
AI explanation

Subtracting the second equation from the first gives 2x - 2y = -4, which simplifies to x - y = -2. Adding both original equations gives 24x + 24y = 144, which simplifies to x + y = 6. Solving the system x - y = -2 and x + y = 6 yields x = 2 and y = 4. The solution is x = 2, y = 4.

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