Question

complete the following table with appropriate answers for the given pairs of the linear equations :
Pair of linear equations
3. lab.lb ste Consistent/
inconsistent
One many
intersecting coincider
I no solution |/ parallellines
2x-3y=8=0; 4x-6y-9= 0
2
x+2y=0; 3x+4y-20=0
x+y=5, 2x+2y=12​

Answer 1

Answer:

1. A1/A2= 1/2

b1/b2=1/2

C1/C2=8/9

inconsistent

no solution

parallel lines

2.A1/A2=1/3

b1/b2=1/2

C1/C2=0

consistent

one solution

intersecting lines

3.A1/A2=1/2

b1/b2=1/2

C1/C2=1/2

consistent (or dependent)

infinite solution

coincident lines.