Question

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation? y = –4x + 5 y = 4x – 5 2y = 8x – 10 –2y = –8x – 10

Answer 1

IS A: y = –4x + 5

Hope this helps!

Answer 2

y = –4x + 5

Explanation:

We can put the offered choices into standard form and compare.

y = –4x + 5 ⇒ 4x +y = 5 . . . . . intersecting line; one solution

y = 4x – 5 ⇒ 4x -y = 5 . . . . . . same line, infinite solutions

2y = 8x – 10 ⇒ 4x -y = 5 . . . . same line, infinite solutions

–2y = –8x – 10 ⇒ 4x -y = -5 . . . . parallel line, no solutions