Answer
$(2,-2)$
Work Step by Step
To solve a pair of equations in two variables graphically, first put each equation in function form, $y=f(x)$.
1. Graph the equations on a common screen.
2. Find the points of intersection of the graphs.
The solutions are the x- and y-coordinates of the points of intersection.
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$\left.\begin{array}{ll}
x-y=4\ \ /-x & 2x+y=2\ \ /-2x\\
-y=4-x\ \ /\times(-1) & y=2-2x\\
y=x-4 & y=-2x+2 &
\end{array}\right.$
1. Graphed with desmos.com online calculator (see image below)
2. There is an intersection point, exactly one solution,
$(2,-2)$
