Multiple choice

Solve the given pair of equations by substitution method: $x\, +\, y\, =\, 11$ $x\, -\, y\, =\, -3$

  1. $(4 , 6)$
  2. $(3 , 11)$
  3. $(4 , 7)$
  4. $(6 , 2)$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Adding the two equations x + y = 11 and x - y = -3 eliminates y, giving 2x = 8, which simplifies to x = 4. Substituting x = 4 back into the first equation yields 4 + y = 11, which gives y = 7.

AI explanation

Adding the two equations eliminates y, yielding 2x = 8. Solving for x gives x = 4. Substituting x = 4 into the first equation, x + y = 11, gives 4 + y = 11, so y = 7. The solution is the pair (4, 7).

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