Question

for what the value of k will the pair of equation have no solution 3 X + Y = 1 and 2 k - 1 into X + K - 1 into Y is equal to 2 k + 1​

Answer 1

Answer:

The equations are:

i) 3x + y - 1 = 0

ii)(2k - 1)x + (k-1)y - 2k +1 = 0

The condition for two equations to have no solution is:

$\frac{a1}{a2} = \frac{b1}{b2} \: is \: not \: equal \: to \: \frac{c1}{c2}$

=> 3/(2k - 1) = 1/(k-1) ≠ -1/1

=>3k - 3 = 2k - 1

=> 3k - 2k = 3 - 1

=> k = 2

Therefore, k = 2 is the answer