Answer
$\{(1,0)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
4x+y=4 & & & | & 3x-y=3 & & \\
x=0 & & y=0 & | & x=0 & & y=0\\
& & & & & & \\
4x+y=4 & & 4x+0=4 & | & 0-y=3 & & 3x-0=3 \\
y=4 & & x=1 & | & y=-3 & & x=1\\
(0,4), & & (1,0) & | & (0,-3) & & (1,0)\\
& & & & & &
\end{array} $
Plot the pairs of points and the accompanying lines.
Determine intersection points, if any.
(see attached image)
There is an intersection point,
the solution set is $\{(1,0)\}$
