Question

3) Find the value of k for each of the following systems of equations having infinitely many solutions. a) 2x + 3y = k; (k – 1) x + (k + 2) y = 3k

Answer 1

Answer:

K=7

Step-by-step explanation:

For infinitely many solution a1/a2=b1/b2=c1/c2

equations are 2x + 3y = k

(k-1)x + (k+2)y = 3k

plot their coefficients values,

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

2(k+2) = 3(k-1)

2k + 4 = 3k - 3

4+3 = 3k-2k

k= 7