8
QuizMultiple Choice

Solving One-Variable Equations with Systems

Question 8 • AZ-Common Core Algebra II A

What is the solution of 3x + 5 = 2x – 7?

Answer
A
the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7
B
the x-coordinates of the x-intercepts of the lines y = 3x + 5 and y = 2x – 7
C
the y-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7
D
the y-coordinates of the y-intercepts of the lines y = 3x + 5 and y = 2x – 7

Explanation

The equation sets the two line expressions equal: 3x + 5 = 2x − 7. The x-value that makes them equal is the x-coordinate where the lines y = 3x + 5 and y = 2x − 7 intersect. Solving gives x = −12, so the solution is the x-coordinate of their intersection point: choice A.

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