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Solve the system by graphing: x + y = 2 and x - y = 4.
A(-1, 3)
B(1, -3)
C(3, -1)
D(3, 1)
Answer & Solution
Correct answer: C. (3, -1)
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_
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