The graph of the two lines is in the image at the end.
How to solve the system of equations?
We want to solve the system of equations:
y = 4x - 1
y = 4x + 3
Graphically.
Remember that the solutions are given by the intercepts between the lines. And if the graphs never intercept, then we don't have solutions.
To graph any line, just evaluate it in two points, then graph these points, and draw a line that passes through both points. For example for the first line:
if x = 0
y = 4*0 - 1 = -1
if x = 1
y = 4*1 - 1 = 3
So the points are (0, -1) and (1, 3)
For the second:
if x = 0
y = 4*0 + 3= 3
if x = 1
y = 4*1 + 3 = 7
So we have (0, 3) and (1, 7)
In the image at the end you can see the graphs of the two lines, where you can see that the two lines are parallel, so they never intercept.