Question

For what value of k,the pair of equations 4x-3y=9, 2x+ky=11 has no solution

Answer 1

4x-3y-9=0.......eq. 1

2x+ky-11=0......eq. 2

the pair of equation has no solution and the lines are parallel

$\therefore \frac{a_1}{a_2}=\frac{b_1}{b_2}\text{is not equal to}\frac{c_1}{c_2}$

$\frac{4}{2}=\frac{-3}{k}\text{is not equal to}\frac{-9}{-11}$

$\frac{4}{2}=\frac{-3}{k}$

$2=\frac{-3}{k}$

$k=\frac{-3}{2}$