Elimination Method for Solving Simultaneous Equations
Learn how to solve simultaneous equations by eliminating one variable using addition or subtraction. Let’s get started! 🚀
Video Lesson
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Flashcards
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🛎️ Elimination Method
- The elimination method removes one variable by adding or subtracting two equations.
- The aim is to get an equation like 4x = 12 that is easy to solve.
🛎️ Elimination by Addition
- Add the equations when one variable has opposite signs, like +y and −y.
- That variable cancels out, leaving an equation with one variable.
🛎️ Preparing the Equations
- Transform the equations so one variable can be cancelled, like +3y and −3y.
- Exam tip: when you multiply, multiply every term on both sides of the equation.
🛎️ Elimination by Subtraction
- Subtract the equations when one variable has the same sign, like +2x and +2x.
- This removes that variable so you can solve.
🛎️ Finishing and Checking
- Substitute the value back to find the other variable.
- Exam tip: always check by substituting both x and y into the original equations.
Practice Questions
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Interactive Activity
Solve systems of equations step-by-step.
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