In this topic, students will:
examine graphs of linear systems of equations to determine the number of solutions, based on the number of intersection points
compare the equations in a linear system to look for a relationship between the number of solutions and the slopes and y-intercepts of the equations
create and examine the graphs of linear systems of equations to determine the solution
understand how substitution can be used to solve a linear system of equations
apply this understanding to solve a system of linear equations with one solution, no solution, or infinitely many solutions
understand how the process of elimination can be used to solve a system of linear equations with no solution, one solution, or infinitely many solutions
apply this understand to solve mathematical and real-world problems
Vocabulary:
System of linear equations - is formed by two or more linear equations that use the same variables
Solution of a system of linear equations - any ordered pair that makes all equations in the system true