Solve the system by graphing: x + y = 2 and x - y = 4.

1. Find the intercepts of x + y = 2: letting x = 0 gives y = 2, and letting y = 0 gives x = 2. 2. Find the intercepts of x - y = 4: letting x = 0 gives y = -4, and letting y = 0 gives x = 4. 3. Graphing both lines using their intercepts, they intersect at (3, -1). 4. Check: 3 plus -1 equals 2, and 3 minus -1 equals 4, so both equations hold. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.1 Solve Systems of Equations by Graphing_