Question

For what value of k, will the following pair of equations have infinitely
many solutions :
2x + 3y = 7 and (k + 2) x - 3(1 - k) y = 5k + 1
​

Answer 1

this is the correct answer

Answer 2

Answer:

The value of k is 4

Step-by-step explanation:

                            => 2x + 3y = 7 and (k + 2) x - 3(1 - k) y = 5k + 1

                            =>  a1/a2 = b1/b2 = c1/c2

                            =>2/k+2 = 3/-3+3k =7/5k+1

                            => -6+6k = 3k+6          [cross multiplication]

                            =>  6k-3k = 6+6

                            =>  3k = 12

                            =>  k = 4

                    /\ THE VALUE OF K=4