# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent x=4 and y=-3?

Jan 26, 2018

See a solution process below:

#### Explanation:

The equation $x = 4$ represents a vertical line from $4$ on the horizontal axis. It means, for each and every value of $y$ then $x$ is equal to $4$. We can graph this as:

The equation $y = - 3$ represents a horizontal line from $- 3$ on the vertical axis. It means, for each and every value of $x$ then $y$ is equal to $- 3$. We can add this to the graph as:

We can see from the intersection of the two lines the solution is:

$\left(4 , - 3\right)$

Because there is at least one solution for the system of equations the system is Consistent