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Solve the system by graphing: 3x + y = -1 and 2x + y = 0.
A(1, -2)
B(-1, 2)
C(-1, -2)
D(2, -1)
Answer & Solution
Correct answer: B. (-1, 2)
1. Solve both equations for y: the first becomes y equals -3x minus 1, and the second becomes y equals -2x.
2. Set the two expressions equal: -3x minus 1 equals -2x.
3. Add 3x to both sides: -1 equals x, so x equals -1.
4. Substitute back into y equals -2x to get y equals 2, giving the point (-1, 2).
_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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