Question

Which one of the following systems of equations doesn't belong with the other three?

a. 2x+y=5, 3x−2y=4
b. 4x−2y=7,2x+3y=8
c. x+2y=6, 2x−y=3
d. 3x+4y=10,2x−y=5

Answer 1

The system of equations that doesn't belong is d. 3x+4y=10, 2x−y=5.

Step-by-step explanation:

In order to determine which system of equations doesn't belong, we need to analyze each system and see if they have any differences that set them apart from the others.

System a: 2x+y=5 and 3x−2y=4

System b: 4x−2y=7 and 2x+3y=8

System c: x+2y=6 and 2x−y=3

System d: 3x+4y=10 and 2x−y=5

By comparing the systems, we can see that system d is different from the others because it has a different slope for the second equation. The other systems have the same slopes in both equations.