Question

Solve the following system of equations:

x − 2y = 6
2x − 4y = 10

Infinitely many solutions
No solutions
(0, 0)
(6, 10)

Answer 1

if we multiply the first equation by 2 we get
2x - 4y = 12
but the second equation is
2x - 4y = 10

2x - 4y can't have 2 different values so the are no solutions