# How do you solve the system x – y = –3 and x – y = 4 by graphing?

May 7, 2016

There is no solution.
The two lines will never intersect.

#### Explanation:

Write each equation in the form $y = m x + c$

$y = x + 3$ and $y = x - 4$

To find the solution graphically each line can be drawn and the point of intersection will give the solution.

However in this case the lines are parallel because they have the same gradient and as a result they will never intersect.

There is no solution.

Algebraically: $x + 3 = x - 4 \text{ }$ gives $3 = - 4$
This is false.
There is no solution.