AMC 10 Step by Step
Log inSign up
Printable

2026 AMC 10A Problem 7

Include the solutionBack to the problem
2026 AMC 10A Problem 7AMC 10 Step by Step
Name:                             Date: November 10, 2026
Systems of Equations · difficulty 2 of 5 · about 2 min · position P1-10

How many ordered triples of positive integers (x,y,z)(x,y,z) satisfy both the following equations?

x+y+z=31x+y+z=31 x+3y+3z=41x+3y+3z=41

  1. A)44
  2. B)55
  3. C)66
  4. D)77
  5. E)88

Working