Question

Show that the equations 3x − 2y = 6, 6x − 4y = 10 are inconsistent.

Answer 1

Answer:

Given lines are, 3x−2y=5

Given lines are, 3x−2y=5and 6x−4y=10⇒3x−2y=5

Given lines are, 3x−2y=5and 6x−4y=10⇒3x−2y=5clearly both lines are same, i.e. they superimpose on one another

Given lines are, 3x−2y=5and 6x−4y=10⇒3x−2y=5clearly both lines are same, i.e. they superimpose on one anotherHence there will be infinite solutions.

Answer 2

Answer:

hope this helps <3

Step-by-step explanation:

given 3x-2y= 6 and 6x-4y=10

a1= 3 b1=-2 c1= 6

a2= 6 b2= -4 c= 10

a1/a2 = 3/6 i. e 1/2

b1/b2=-2/-4 i. e 1/2

c1/c2= 6/10 i. e 3/4

as a1/a2=b1/b2≠c1/c2

the equations are inconsistent