Question

The value of k for which the system of equations x-2y=3 and 3x+k=1 has a unique solution is

Answer 1

Answer:

GIVEN THAT:

The equations $\underline{x-2y=3}$

and

$\underline{3x+k=1}$

has a unique solution

TO FIND:

value of k

ANSWER:

For unique solution the condition is

$\green{a1/a2=b1/b2}$

from the above equations we have

$\frac{1}{3} = \frac{ - 2}{k}$

$\blue{k=-6}$