For some constant real numbers p, k and a, consider the following system of linear equations in x and y: px -

Question

For some constant real numbers p, k and a, consider the following system of linear equations in x and y: px - 4y = 2 3x + ky= a A necessary condition for the system to have no solution for (x, y ), is

Accepted Answer

2 a + k ≠ 0 2a + k 
eq 0 2 a + k  = 0. Arranging the equation, we know that there are no solutions when the lines are parallel: for that the condition had to p 3 = − 4 k ≠ 2 a \frac{p}{3}=-\frac{4}{k}
e\ \frac{2}{a} 3 p ​ = − k 4 ​  = a 2 ​ Checking through options: Option A: using the first and last terms in our relation, we see that

For some constant real numbers p, k and a, consider the following system of linear equations in x and y:px - 4y = 23x + ky= aA necessary condition for the system to have no solution for (x, y ), is

For some constant real numbers p, k and a, consider the following system of linear equations in x and y:px - 4y = 23x + ky= aA necessary condition for the system to have no solution for (x, y ), is

For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky= a
A necessary condition for the system to have no solution for (x, y ), is

For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky= a
A necessary condition for the system to have no solution for (x, y ), is