Question

for what value of k will the following equation have infinitly many sollution 2x-3y =7and (k+1)x+(1-2k) y =5k - 4

Answer 1

Answer:

for infinitely many solutions,

the ratios of cofficient of x , coefficient of y and the constant terms should be equal.

thus for the given equations to be coincident.

2/(k+1) = -3/(1-2k) = 7/(5k -4)

when we take,

=>2/(k+1) = 7/(5k -4)

then ,

=> 2(5k-4)=7(k+1)

=> 10k-8=7k+7

=> 3k=15

=> k=5

hope it would help you

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