# 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?

Jul 12, 2017

Consistent with solution set $\left(1 , 3\right)$.

#### Explanation:

If we substitute, we get:

$4 x - 1 = - x + 4$

$5 x = 5$

$x = 1$

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!