Simultaneous equations are two or more equations that use different variables. You solve them together to find the values that make all the equations true.

For example, you might have these equations:

1. ( 2x + 3y = 6 )
2. ( 4x - y = 8 )

Why They Matter in Year 12 Algebra:

• Real-World Use: Simultaneous equations can help solve everyday problems, like managing a budget or figuring out how to mix different solutions.
• Building Blocks for the Future: Learning about these equations prepares you for harder topics, like calculus and statistics, that you'll study later.
• Boosting Thinking Skills: Working through these problems improves your ability to think critically and find solutions to tricky questions.

Getting good at solving simultaneous equations is an important step in your math journey!