Question

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

Answer 1

Answer:

Check the explanation.

Step-by-step explanation:

For a pair of linear equations to have infinite solutions the ratio

a₁ /a₂ = b₁/b₂ = c₁/c₂

In the question, we have been asked to find the value of c if the pair of given linear equations has infinitely many solutions.

cx – y = 2

6x – 2y = 3

So the ratios will be:

a₁ /a₂ = c/6  ,b₁/b₂ = -1/-2 =1/2,  c₁/c₂ = 2/3

So, according to the rule,

c/6 = 1/2

c=3

c/6 = 2/3

c=4

I guess there is a problem in question as we are getting 2 answers for c.