Question

find out the value of c for which the pair of equations cx-y=2and 6x-2y=4will have infitely many solution​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{C=3}}}}$

Step-by-step explanation:

Given:-

the pair of equations cx-y=2and 6x-2y=4will have infitely many ssolutions.

To find:-

Find the value of C

Solution:-

Given equations are Cx-y=2

=>Cx-y-2=0

a1=C;

b1=-1;

c1=-2

and 6x-2y=4

=>2(3x-y)=4

=>3x-y=4/2

=>3x-y=2

=>3x-y-2=0

a2=3;

b2=-1;

c2=-2

Now,

a1/a2=C/3

b1/b2=-1/-1=1

c1/c2=-2/-2=1

given lines have infinitely many solutions then

a1/a2=b1/b2=c1/c2

=>C/3=1

=>C=3×1

=>C=3

Answer:-

Value of C=3

Used Concept:-

If a1/a2=b1/b2=c1/c2 then two lines are dependent lines with infinitely many solutions

Answer 2

Answer:

C= 3

Step-by-step explanation:

Given equations are Cx-y=2

=>Cx-y-2=0

a1=C;

b1=-1;

c1=-2

and 6x-2y=4

=>2(3x-y)=4

=>3x-y=4/2

=>3x-y=2

=>3x-y-2=0

a2=3;

b2=-1;

c2=-2

Now,

a1/a2=C/3

b1/b2=-1/-1=1

c1/c2=-2/-2=1

given lines have infinitely many solutions then

a1/a2=b1/b2=c1/c2

=>C/3=1

=>C=3×1

=>C=3

I hope it helps u