Final answer:
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.