Multiple choice

Solve the following pairs of equations. $x+y=5$; $x-y=1$

  1. $\left( 3,2 \right) $
  2. $\left( 2,2 \right) $
  3. $\left( 4,2 \right) $

  4. None of these
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A Correct answer
Explanation

Adding the equations: (x+y) + (x-y) = 5 + 1 => 2x = 6 => x = 3. Substituting x=3 into x+y=5 gives y = 2. The solution is (3,2).

AI explanation

Add the two equations (x + y) + (x - y) = 5 + 1 to eliminate y. This simplifies to 2x = 6, meaning x = 3. Substituting x = 3 back into the first equation yields 3 + y = 5, which gives y = 2, making the solution (3, 2).

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