Question

How do you solve the system of equations `2x = y - 9` and `2x - y = 4`?

Answer 1

There is no solution to the system of equations, so this is an "inconsistent system."

Explanation:

if `2x - y = 4`, then
`2x = y + 4`

But `2x = y - 9` is Given, and `2x` cannot be equal to two different things.

`y + 4 = 2x = y - 9`
But `y + 4` cannot also be `y - 9`