Systems of two linear equations in two variables

Learning objectives

Solve a system by substitution, by elimination or by graphing and interpret the solution as the point where the lines meet

Set up a system of two linear equations from a described situation and solve it in context

Determine whether a system has one solution, no solution or infinitely many by comparing slopes and intercepts

Find the value of a constant that gives a system a required number of solutions

Find the value of a combined expression such as x + y directly from a system without solving for each variable