Mathematics 4 ESO – Unit 5 SYSTEMS OF EQUATIONS extra activities
1 – Watch the video on ” Solving Systems by Substitution”.
- a) Why can we replace the “y” in the second equation for “(3x + 2)”?
- b) After finding the value of “x”, how do we find the value of “y”?
- c) Solve the system by substitution: y = 5x – 6 ; 6x + 2y = 4
- d) Solve the system by substitution: 3x + 2y = 10 ; x = -3y + 6
2 – Watch the video on “Solving Systems of Equations”. The video explains how to solve a system of equations by addition (also called “elimination”).
- a) To solve the system of equations, what is our first goal?
- b) What do we do after cancelling out the “y” variable?
- c) Solve the system by addition: 5x – y = 1 ; 6x + y = 10
- d) Solve the system by addition: -x + 2y = 0 ; x – 3y = -1
3 – Watch the video on “Solve a System of Equations Using Eliminations”.
- a) What are the different ways to solve systems of equations?
- b) Why do we multiply both sides of the second equation by 3?
- c) After finding the value of “x”, what do we do?
- d) When we represent the system of equations graphically, what is the solution to the equation?
- e) Solve the system by elimination (also called “addition”: 3x – y = 3 ; x + y = 5 and verify the solution graphically.
4 – Click on the link and watch the video on “Solving systems of linear equations — Basic example”.
- a) In what case a system of linear equations has one solutions?
- b) In what case a system of linear equations has no solution?
- c) In what case a system of linear equations has infinite solutions?
- d) In what case a system of linear equations has two solutions?
- e) Why in this example we can’t have two solutions?
- f) How do we know that the lines are going to have one solution?