Question

Find the value of k for which x+2y=5 3x+ky+15=0 is inconsistent

Answer 1

Ans = 6

★ refer to the attachment

Answer 2

Answer:

k=6

Step-by-step explanation:

The given equations are:

$x+2y=5$ and $3x+ky+15=0$

It is given that the above equations are inconsistent,therefore

$\frac{a_{1}}{a_{2}}= \frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$

$\frac{x}{3}=\frac{2}{k}=\frac{5}{15}$

Taking the second and the third equalities, we get

$\frac{2}{k}=\frac{5}{15}$

$k=6$