Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `y=4x-1` and `y= -1x + 4`?

Answer 1

Consistent with solution set `(1, 3)`.

Explanation:

If we substitute, we get:

`4x - 1= - x + 4`

`5x = 5`

`x = 1`

If follows that `y = 3`. A consistent system of equations is a system that has one real solution (I.E a system with an infinite number or no solutions would be dubbed inconsistent).

Hopefully this helps!