Question

find the value of k so that the following syestem of equations is inconsistent 3x-y-5=0 and 6x-2y-k=0

Answer 1

FINAL ANSWER:-

$K \neq-10$

TO FIND:-

value of K

THINGS TO KNOW:-

These equations are of the following form:  

$a1x+b1y+c1 = 0\\a2x+b2y+c2 = 0$

GIVEN:-

$3x-y-5=0...(1)\\6x-2y-k=0...(2)$

SOLUTION:-

here,

$a1 = 3, b1= -1, c1 = -5$

and

$a2 = 6, b2 = -2, c2 = k$

In order that the given system has no solution

inconsistent line is  $\frac{a1}{a2} =\frac{b1}{b2} \neq \frac{c1}{c2}$

i.e. $\frac{3}{6} =\frac{-1}{-2} \neq \frac{-5}{k}$

⇒ $\frac{-1}{-2} \neq \frac{-5}{k}$

$-1*K\neq-5*-2\\-K\neq 10\\K\neq-10$

Hence, equations (i) and (ii) will have no solution if $K \neq-10$

⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔

Answer 2

maihuunknown ne sahi answer diya hai use brainlist bana do aur use follow kar lo