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Systems of linear equations. Graphical solution

A system of linear equations is two equations with the same variables. Graphical method: graph both lines and find their intersection. The coordinates of the intersection are the solution of the system.
One intersection point — one solution
Parallel lines — no solution
Coincident lines — infinitely many solutions
Find the intersection point of the lines.
{y=x+2y=x+4\begin{cases}y=x+2\\y=-x+4\end{cases}
Find intersection point of two lines.
xyL1L2(1, 3)
L1: y=x+2y=x+2
L2: y=x+4y=-x+4
(x,y)=(1,3)(x,y)=(1,3)
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