Applying the Solving Technique
This page demonstrates the application of the solving steps introduced earlier, providing a detailed walkthrough of solving a set of simultaneous equations.
The example used is: 28 + 2c = 18 38 + 2c = 22
Example: The solving process is shown step-by-step:
- Subtract 2c from both equations to eliminate the variable c
- This results in: 28 - 38 = -5 and 18 - 22 = -4
- Solve for c: 2c = 10, so c = 5
Highlight: The substitution method is implicitly used here, as the value of c is then substituted back into one of the original equations to verify the solution.
This example illustrates how the simultaneous equations solver approach can be applied to real problems, providing students with a clear demonstration of the technique in action.
Definition: Substitution in simultaneous equations involves using the value of one variable found from one equation in the other equation to solve for the remaining variable.
By working through this example, students can see how the abstract steps translate into a practical problem-solving method, reinforcing their understanding of how to solve simultaneous equations step by step.
