3
AssignmentMultiple Choice

Solving Systems of Linear Equations: Graphing

Question 3 • AZ-Common Core Algebra II B

Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is y = 3x – 1. Which could be the other equation?

Answer
A
y = 3x + 2
B
3x – y = 2
C
3x – y = 1
D
3x + y = 1

Explanation

A system has infinitely many solutions when both equations describe the same line. Rearrange y = 3x − 1 as 3x − y = 1, which matches choice C. The other choices describe different lines, so they would not give infinitely many solutions.

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