Question

determine the value of k for which the following pair of linear equation is consistent 2x + ( k-1) y = 5 ; 3x + 6y = 5​

Answer 1

Answer:

k=5

Step-by-step explanation:

A consistent system of equations has at least one solution

a1/a2 =b1/b2=c1/c2

2/3 =(k-1)/6=1/1

2×6=3k-3

12+3=3k

15 =3k

k=5

Answer 2

Answer:

k=5

Step-by-step explanation:

For a quadratic eq to be consistent

a1/a2=b1/b2

2/3=(k-1)/6

cross multiply

3k-3=12

3k=15

k=5

Done