Question

For what value of 'k' will the following pair of linear equations have no solution ? 2x + 3y = 9; 6x + (k - 2)y = (3-2).​

Answer 1

Answer:

Given equations are,

2x+3y = 9   ...(1)

and 6x + (k - 2)y = (3-2)   ...(2)

The pairs of linear equations have no solution, if

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