Question

for which value of k will the following pair of linear equations have no solution 3x+y=1,(2k-1)x+(k-1)y=2k +1

Answer 1

Hey!!!!
let us solve this on paper for best understanding
k = 2
k is not equal to -2
Hope this helps

Answer 2

Answer:

k=2 but not equal to -2

Step-by-step explanation:  3x+y=1   ,  (2k-1)x + (k-1)y = 2k+1

                                              for no solution a1/a2=b1/b2 ≠ c1/c2

                                              ⇒3/2k-1=1/k-1 ≠ 1/2k+1

                                               ⇒3k-3=2k-1

                                               ⇒k=2

                                              2k-1 ≠ k-1                      

                               therefore     RHS ≠  LHS