Question

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

Answer 1

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:

`(4, -3)`

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