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Solve the system by graphing: y = 6 and 2x + 3y = 12.
A(6, -3)
B(3, 6)
C(-3, -6)
D(-3, 6)
Answer & Solution
Correct answer: D. (-3, 6)
1. The first equation, y = 6, is a horizontal line whose y-intercept is 6.
2. Substitute y = 6 into the second equation: 2x plus 3(6) equals 12, so 2x plus 18 equals 12.
3. Subtract 18 from both sides: 2x equals -6, so x equals -3.
4. The lines intersect at (-3, 6), and checking confirms 2(-3) plus 3(6) equals -6 plus 18, which equals 12.
_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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