## 6.The value of c for which the pair of equations cx – y=2 and 8x – 2y=3 will have infinitely many solutions, is

Question

6.The value of c for which the pair of equations cx – y=2 and 8x – 2y=3 will have infinitely many solutions, is

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2 months 2021-08-12T06:02:49+00:00 2 Answers 0 views 0

### Hence ,for no value of c the pair of equations will have infinitely many solutions.

When there are two consistent equations as

a

1

x+b

1

y+c

1

=0&a

2

x+b

2

y+c

2

=0 then the equations will have infintely many solutions when the lines are coincident

i.e

a

2

a

1

=

b

2

b

1

=

c

2

c

1

The equations are not coincident if

a

2

a

1

=

b

2

b

1

=

c

2

c

1

Here the equations are

cx+y=2 and 6x+2y=3

So, a

1

=c,b

1

=1,c

1

=−2 and a

2

=6,b

2

=2,c

2

=−3

a

2

a

1

=

6

c

,

b

2

b

1

=

2

1

and

c

2

c

1

=

−3

−2

=

3

2

Here we see that,

b

2

b

1

=

c

2

c

1

.

The lines are not coincident.

i.e we cannot assign any value to c.