Question

Which system has exactly one solution?

A. 3x - y =8
6x - 2y = 16

B. Y = 4x + 9
Y = 4x - 9

C. -6x + y = 2
Y = 6x + 2

D. 3x + 2y = 4
x - y = 3

Answer 1

D

Explanation:

A. when using elimination all number cancel out making it infinite solutions

B. has the same slope meaning the lines are parallel and will never intersect

C. when you isolate the y on 1 side for the 1st equation the equations are the same meaning infinite solutions

so d is the only one left

Hope this helps or makes sense.