Question

If the pair of equations 2x+3y=7 and kx+9/2y=1 have no solution then the value of k is?​

Answer 1

Answer:

Given:

The equations are,

$2x + 3y = 7$

$kx + \frac{9}{2} y = 1$

Since,They have no solution,

Then the lines are parallel.

The condition is,

$\frac{a1}{a2} = \frac{b1}{b2 } ≠ \frac{c1}{c2}$

$\frac{2}{k} = \frac{6}{9} ≠ \frac{7}{1}$

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

$k = 3$

The \: value \: of \: k \: is \3