Question

For what value of k the pair of equation 4x-3 y=9; 2 X + k y= 11 has no solution?

Answer 1

EXPLANATION.

• GIVEN

pair of equation has no solution.

=> 4x - 3y = 9 ....(1) and 2x + ky = 11 ....(2)

TO FIND VALUE OF K.

conditions of the no solution equation.

$\bold{\implies{ \frac{A1}{A2} = \frac{B1}{B2} \ne \frac{C1}{C2} }}$

=> a1 = 4 , b1 = -3 , c1 = -9

=> a2 = 2 , b2 = k, c2 = -11

$\bold{\implies{ \frac{4}{2} = \frac{ - 3}{k} \ne \frac{ - 9}{ - 11} }}$

Case = 1

=> 4/2 = -3/k

=> 4k = -6

=> k = -6/4

=> k = -3/2

Case = 2

$\implies{ \frac{ - 3}{k} \ne \frac{ - 9}{ - 11} }$

$\implies{9k \: \ne \: - 33}$

$\implies{k \: \: \ne \: \frac{ - 11}{3} }$