Question

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

A- y = –4x + 5
B- y = 4x – 5
C- 2y = 8x – 10
D- –2y = –8x – 10

Answer 1

D: 2y = 8x - 10

Explanation:

A: y = 4x + 5. This has a slope of -4 Yes it could work.

B: y = 4x - 5. No It does not work

C: 2y = 8x - 10. The slope is 8/2 = 4. So No it could not work.

D: -2y = 8x - 10. The slope is 8/-2 = -4. Yes This Does work! :)