Question

show that 5x+2y=2k and 2(k+1)x+ky=3k+4 has infinitely many solutions

Answer 1

Answer:

k=4

Step-by-step explanation

For any equation to have infinitely many solutions, the following condition is required-

a1/a2 = b1/b2 =c1/c2

Where, a1=5 ; a2=2k+2 ; b1=2; b2= k; c1=2k; c2=3k+4

Therefore, ATQ

=> 5/2k+2 = 2/k

=>4k+4=5k (by cross multiplication)

=>4=k

Therefore, k=4

Hence solved

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