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Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution): 2b-a=9 6b-3a=21
CBSE | Class 10 | Exercise 3.2 | Maths | Pair of Linear Equations In Two Variables | RD Sharma
Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution): 2b-a=9 6b-3a=21

Given,

2b-a=9……. (i)

6b-3a=21……. (ii)

For equation (i),

⇒ b=(a+9)/2

When a=-3, we get b=(-3+9)/2=3

When a=-1, we have b=(-1+9)/2=4

Thus, we have the following table giving points on the line 2b-a=9

a -3 -1
b 3 4

From equation (ii),

Solve for b:

⇒ b=(21+3a)/6

So, when a=-3

b=(21+3(-3))/6=2

And, when a=-1

⇒ b=(21+3(-1))/6=3

Thus, we have the following table giving points on the line 6b-3a=21

a -3 -1
b 2 3

Graph of the equations (i) and (ii) is as below:

From given graph, there is no common point between these two lines.

Hence, the given systems of equations are in-consistent.

i

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