Independent practice material. Not affiliated with the University of the Philippines and not official UPCAT content. Official UP Office of Admissions site

UPCAT Mathematics practice question 17: Solve the system: 2x + y = 11 and x − y = 1

Correct answer

C. x = 4, y = 3

Adding the equations eliminates y: 3x = 12, so x = 4. Substituting gives y = 3.

The question

Solve the system: 2x + y = 11 and x − y = 1

  1. Option A: x = 3, y = 5
  2. Option B: x = 5, y = 1
  3. Option C: x = 4, y = 3Correct
  4. Option D: x = 2, y = 7

Why C is correct

Adding the equations eliminates y: 3x = 12, so x = 4. Substituting gives y = 3.

Same topic