1.

Find c if the system of equations cx+3y+(3-c) =0; 12x+cy-c=0 has infinitely many solutions? Class 10​

Answer»

Answer:

Given system of EQUATIONS be cx+3y+(3−c)=0; 12x+cy−c=0

For the system of equations to have infinitely many solutions

a

2

a

1

=

b

2

b

1

=

c

2

c

1

12

c

=

c

3

=

−c

3−c

12

c

=

c

3

and

c

3

=

−c

3−c

⟹c

2

=36andc=6

⟹c=±6andc=6

∴c=6

Step-by-step explanation:

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