90.1k views
3 votes
Hich equation can pair with x + 2y = 5 to create an inconsistent system?

User Sashn
by
5.7k points

2 Answers

2 votes
X+ 2y=5
X=5-2y

2x+4y=3
2(5-2y)+4y=3
10-4y+4y=3
10=3

5x+2y=3
5(5-2y) +2y=3
25-10y+2y=3
-8y=-22
Y=-22/-8

Y=2.75

6x+12y=30
6(5-2y)+12y=30
30-12y+12y=30
30=30

3x+4y=8
3(5-2y)+4y=8
15-6y+4y=8
-2y=8-15
-2y=-7
Y= -7/-2
Y= 3.5
User Juniar
by
7.0k points
1 vote

Answer: 2x+4y=5 on edge

Explanation:

Solve for y for all equations and choose the one that would make parallel lines. Since a is the only one with the same slope and different y intercept, it's the only one that would make the lines parallel.

User Yvesmancera
by
5.7k points