Question

Question 3(Multiple Choice Worth 2 points) (05.02)

Determine which system below will produce infinitely many solutions.

A. 2x + 5y = 24
2x + 5y = 42

B. 3x − 2y = 15
6x + 5y = 11

C. 4x − 3y = 9
−8x + 6y = −18

D. 5x − 3y = 16
−2x + 3y = −7

Answer 1

In answer C, you can multiply the entire first equation by - 2, which results in the second equation. This proves that the equations are proportional to each other and therefore will have an infinite set of solutions.