Question

find the value of k 3x +2y = 4 and 5x +ky = -8 has no solution​

Answer 1

3x+2y=4 = = 3x+2y-4=0

5x+ky=-8 = = 5x + ky+8=0

For no solution

2/k=-4/8

16=-4k

-4=k

Answer 2

$\huge\mathfrak{Answer}$

$\huge\sf{solution:}$

This is a linear equation in two variable first write it in to its standard form .

$\boxed{\sf{ ax + by + c = 0}}$

$\implies$ 3Kx + 2y -4 = 0

and, 5x + Ky + 8 = 0

For no solution we have

$\implies$

$\frac{a1}{a2} ≠ \frac{b1}{b2}$

$\implies$$\frac{3k}{5} ≠ \frac{2}{k}$

$\implies$$3 {k}^{2} ≠ 10$

$\implies$$k ≠ \sqrt{ \frac{10}{3} }$