Question

Given that kx−3y=4and 4x−5y=7 In the system of equations above where k is a constant and x and y are variables. For what value of k will the system of equations have no solution?

Answer 1

kx - 3y = 4
4x - 5y = 7
No solution condition
a1/a2 = b1/b2 =/= c1/c2

=> k/4 = -3/-5 = 3/5
5k = 12
=> k = 12/5