Question

For what value of k, does the system of linear equations 2x + 3y = 7, (k – 1) x + (k + 2) y = 3 have no solution? (1 Point) a) K= 2 b) K=3 c) K=7 d) K=0

Answer 1

Answer:

k=7

Step-by-step explanation:

2x+3y=7

(k−1)x+(k+2)y=3k

The general equations

a1x+b1y=c1

a2x+b2y=c2

So,

a1=2,

b1=3,

c1=7

a2=k−1,

b2=k+2,

c2=3k

We know that the condition of infinite solution

a1/a2 = b1/b2 = c1/c2

Therefore

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

2/k-1 = 3/k+2

⇒2k+4=3k−3

⇒k=7

Hence, the value of k is 7.