Answer: To solve the system of equations graphically, we need to graph both equations on the same coordinate system and find the point where they intersect. This point will give us the values of x and y that satisfy both equations.
First, we can rewrite the two equations in slope-intercept form:
y = 4x - 1 (equation 1)
y = -x + 4 (equation 2)
Now we can graph both equations on the same coordinate system. To do this, we can plot a few points for each equation and then draw a line through the points. Alternatively, we can use the y-intercept and slope of each equation to graph the lines. For equation 1, the y-intercept is -1 and the slope is 4. For equation 2, the y-intercept is 4 and the slope is -1.
We can see that the two lines intersect at the point (1, 3). Therefore, the solution to the system of equations is x = 1.