Which of the following systems of equations has no solution?
(A)
Divide the first equation through by 5, and the second
equation through by 4:
Those are the same line, so the system is dependent and has
infinitely many solutions. So that's not it.
(B)
Divide the first equation by 5:
Those are also the same line, so the system is dependent and has
infinitely many solutions. So that's not it either.
(C)
Divide the first equation through by 5, and the second
equation through by 4:
The left sides are the same but the right sides are not
So they are inconsistent and have no solution. This is
the correct choice!
Edwin