Question

For what value of k, the following system of equations will represent the coincident lines? (k-3) x + 3y = k and k(x+y) = 12​

Answer 1

Answer:

6

Step-by-step explanation:

Using conditions for consistency of equations,given system has infinitely many solutions if

k

k−3

=

k

3

=

12

k

⟹3×12=k

2

⟹k=6 or k=−6

Subtituting in

k

k−3

=

k

3

we found that k=6 is solution