The solution of the system of equations is the ordered pair (1, -1).
How to solve the system graphically?
The system of equations that we have is:
y = 5x - 6
y = -2x + 1
To solve this graphically, we need to graph both lines in the same coordinate axis, and then find where do the lines intercept.
To graph a line remember to find two points in the line, then graph these points, and draw a line that passes trough both points.
if x = 0
y = 5*0 - 6 = -6
if x = 1
y = 5*1- 6 = -1
So we have the points (0, -6) and (1, -1),with thes two we can graph the first line and so on.
Now, in the image below you can see the graph of the system of equations
We can see that the intercept is at (1, -1), so that is the solution.