For what value of $K$ , the equation $k x - 9 y = 66$ and $2 x - 3 y = 8$ will have no solutions?

- 6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{33}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $6$
$k x - a y = 66 - - - - - (1)$
$2 x - 3 y = 8 - - - - - (2)$
$[\begin{matrix} k & - 9 2 & - 3 \end{matrix}] = 0$
$- 3 k + 18 = 0 \Rightarrow 3 k = 18$
$k = 6$

Suggest Corrections

Similar questions

p

2 x + p y = 8

x + y = 6

For what value of k will the following pair of linear equation have no solution?

$2 x + 3 y = 9, 6 x + (k - 2) y = (3 k - 2) .$

k x + 3 y = k - 3; 12 x + k y = k; k \neq 0

Find the value of k for which each of the following systems of equations has no solution:

$k x + 3 y = 3, 12 x + k y = 6.$

Join BYJU'S Learning Program