# How do you solve the system by graphing -x+y=2, x+y=4?

Mar 1, 2016

Draw graph of −x+y=2 & $x + y = 4$ and point of intersection $\left(1 , 3\right)$ will give the solution of the system of lines.

#### Explanation:

To solve the system by graphing −x+y=2, $x + y = 4$ one needs to draw the graphs of two lines.

To draw the graph of line −x+y=2, select three sets of points whose coordinates satisfy this equation. These could be $\left(6 , 8\right)$, $\left(- 2 , 0\right)$ and $\left(- 10 , - 8\right)$. Joining them will give the graph of $- x + y = 2$.

Similarly points for equation $x + y = 4$ could be $\left(12 , - 8\right)$, $\left(2 , 2\right)$ and $\left(- 6 , 8\right)$ and joining them will give the graph of $x + y = 4$.

Point of intersection of these lines will give the solution of the system, which should be $\left(1.3\right)$.