Question

Solve the system 3x – 2y = 7 and 9x – 6y = 3 What is the solution to the system?

Answer 1

If you divide the second equation throughout by 3 we get
3x - 2y = 1

Now, is that consistent with the first equation, 3x - 2y = 7 ?

Answer 2

Umm yes?

Answer 3

No. Because the second equation implies
3x - 2y = 1
But the first equation is
3x - 2y = 7

If both equations where true, then that would imply that
7 = 1
which cannot be true!!

We say that this system of equations is inconsistent, which means it leads to nonsense. Hence there are no solutions to both equations.

Answer 4

Make sense?

Answer 5

YES!! Thank you for explaining

Answer 6

Great