A. Warm-up Session
Begin the lesson by conducting a simple activity to help students recall their prior learning of linear equations in two variables. Write an equation in two variables on the board and ask the students to find its solution. You can also ask them to graphically find the solution of the equation.
Then, present the students with a simple word problem, which can be represented by a pair of linear equations in two variables. Help the students to represent this situation with a pair of linear equations in two variables.
Thereafter, ask them to recall the general form of a linear equation in two variables and write it on the board. Now, explain to the students the general form of a pair of linear equations in two variables.
B. Graph Activity
In this activity, students need to graphically find the solution of a pair of linear equations in two variables.
Teacher’s Notes
Write a word problem on the board and ask each student to represent the information in the problem by a pair of linear equations in two variables and then graphically solve the equations. Thereafter, ask them to study the graphs, and determine if the equations are consistent or inconsistent.
Additionally, write down a few word problems on the board and ask the students to represent them by the pairs of linear equations in two variables. They also need to determine if the equations are consistent or inconsistent by comparing the ratios of the coefficients of the equations.