alleryStart learning →Solve the system by graphing: y = 2x + 1 and y = 4x - 1.
A(1, 3)
B(3, 1)
C(1, 5)
D(-1, 3)
Answer & Solution
Correct answer: A. (1, 3)
1. Set the two expressions for y equal to each other: 2x plus 1 equals 4x minus 1.
2. Subtract 2x from both sides and add 1 to both sides: 2 equals 2x.
3. Divide by 2 to get x equals 1, then substitute back: y equals 2(1) plus 1, which is 3.
4. The lines intersect at (1, 3), and checking confirms both equations give y = 3 when x = 1.
_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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