Since this standard focuses on linear equations, I decided the use of a graphing calculator will help with visualizing what is occurring graphically. The graphing calculator I am most fond of is Desmos. It is user friendly and allows for the user to graph color coordinated functions simultaneously. Standard 10, part a, involves locating the points of intersection and understanding that these points are solutions to both functions. Desmos is perfect for this because it allows you to easily zoom in or out on the graph, and it shows you the coordinate point of intersection.

The function y=3x is the red line and y=2x+6 is the blue line. You can tap on the point of intersection and Desmos will present the coordinates.

For example:

Not all linear equations will be written in slope intercept form, i.e. y=mx + b. However, with Desmos, it does not have to be in slope intercept.

For example: 

Desmos is convenient and helpful but finding the solution for this system of equations can be done algebraically as well. When solving algebraically, you must use algebraic operations to solve for x and substitute that value in to solve for y. This is what part b of Standard 10 addresses.