Solving simultaneous equations by substitution
OBJECTIVE: To learn how to solve simultaneous equations algebraically (substitution method)
In this activity, we will learn how to solve linear simultaneous equations by substitution.
Substitution means to replace a variable in one equation with a specific value or expression to solve for the other variable.
INSTRUCTIONS:
1. Create a problem by setting initial values for a, b, c, m, and n using the sliders. Set "working" to 0.
2. Move the slider marked "working." to see the steps to solve the simultaneous equations you have just created.
3. The explanation for the steps is as follows:
- Step 1 - Working=1: we make y the subject from equation (2)
- Step 2 - Working=2: we substitute y into equation (1)
- Step 3- Working=3,4,5,6: we solve for x from step 2
- Step 4 - Working=7: from the value of x from step 3, we substitute x back to equation (3) to find y.
- Step 5 - Working=8: The solution conclusion.
4. Move the slider marked "working." back to 0 and create another set of simultaneous equations.
5. On your notebook, practice solving the simultaneous equations.
6. Check your answer by moving the slider marked "working." If you are feeling confident, you can solve the simultaneous equation by making x the subject and then check if you have the same solution as the previous method.
7. If your answer is correct, create a new problem by changing the values of a, b, c, m, and n using the sliders. If your answer is wrong, rework the problem and correct your mistakes before creating a new problem.
Repeat as many times as needed until you master the concept.
Applet by David T
TODAY you learned how to solve systems of two linear equations using the Substitution Method.
In the next lesson, you'll learn how to solve simultaneous equations using the Elimination Method
Did you have FUN doing today's activities?