Question

For what value of k , the system of equation kx+2y=5. 3x+y=1 will have no solution and a unique solution

Answer 1

kx+2y=5. (1)
3x+y=1. (2)
for the equation to have no solution
a1/a2=b1/b2 not equal to c1/c2
k/3=2/1

k=5

for equations to have unique solution

a1/a2 not equal b1/b2 not equal c1/c2
now we can take any number in the place of k
to make above eqn true
for example
k=7 or 99 or 13 etc