10 ) Analyze and solve pairs of simultaneous linear equations. [8-EE8]
a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersections of their graphs because points of intersection satisfy both equations simultaneously. [8-EE8a]
b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. [8-EE8b]
Example: 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
c. Solve real-world and mathematical problems leading to two linear equations in two variables. [8-EE8c]
Example: Given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Alabama Alternate Achievement Standards