Answer
$(0.5,3)$
Work Step by Step
For the first equation $2x+y=4$, the $x$ and $y$ intercepts are found as $(2,0)$ and $(0,4)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Similarly, for the second equation $y=4x+1$, the $x$ and $y$ intercepts are found as $(-0.25,0)$ and $(0,1)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Now, graph each equation as a line passing through the intercepts. The lines intersect at point $(0.5,3)$ which represents the solution.
The graph is as below.