In this activity, we will learn how to solve linear simultaneous equations by substitution.[br][i][br]Substitution[/i] means to replace a variable in one equation with a specific value or expression to solve for the other variable.

1. Create a problem by setting initial values for [color=#0000ff]a, b, c, m,[/color] and [color=#0000ff]n[/color] using the sliders. Set [color=#0000ff]"working"[/color] to [color=#ff0000]0[/color].[br][br]2. Move the slider marked [color=#0000ff]"working." [/color]to see the steps to solve the simultaneous equations you have just created. [br][br]3. The explanation for the steps is as follows:[br]- Step 1 - Working=1: we make y the subject from equation (2)[br]- Step 2 - Working=2: we substitute y into equation (1)[br]- Step 3- Working=3,4,5,6: we solve for x from step 2[br]- Step 4 - Working=7: from the value of x from step 3, we substitute x back to equation (3) to find y.[br]- Step 5 - Working=8: The solution conclusion.[br][br]4. Move the slider marked [color=#0000ff]"working." [/color]back to 0 and create another set of simultaneous equations.[br][br]5. On your notebook, practice solving the simultaneous equations.[br][br]6. Check your answer by moving the slider marked [color=#0000ff]"working." [/color]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.[br][br]7. If your answer is correct, create a new problem by changing the values of [color=#0000ff]a, b, c, m,[/color] and [color=#0000ff]n[/color] using the sliders. If your answer is wrong, rework the problem and correct your mistakes before creating a new problem.[br][br][br]Repeat as many times as needed until you master the concept.

In the next lesson, you'll learn how to solve simultaneous equations using the Elimination Method [br]Did you have FUN doing today's activities?[br]