How to Solve Simultaneous Equations

Welcome to Aleksmatiks! In this video, you will learn how to solve simultaneous equations step by step using both the substitution and the elimination methods. With clear example problems and detailed explanations, you'll master powerful algebraic techniques and gain confidence in algebra.
Main Topics Covered:
• What are simultaneous equations?
- They are sets of equations with multiple unknown numbers that are solved together. For example, 3x +4y = 7 and 2x - 5y = 1.
- They are usually solved using either the substitution or the elimination method.
- They can contain any number of unknown numbers as long as the number of independent equations is not lesser than the number of unknown numbers.
• What does the substitution method entail?
- Expressing one unknown number, e.g., x, in terms of the other.
- Substituting this unknown number into the other equation(s).
- Solving the resulting equation(s).
- Substituting back to find the other unknown number.
• What does the elimination method entail?
- Combining the equations to eliminate one or more unknown numbers.
- Solving the resulting equation.
- Substituting back to find the other unknown number(s).

[@raonei2339]

Very clear explanations. Thanks!

[@Aleksmatics]

Thank you for the kind words.