Simultaneous Equations: Equal Values and Substitution Method
Learn how to solve simultaneous equations using the Equal Values method and the Substitution method. Let’s get started! 🚀
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🛎️ Equal Values Method
- Make the same variable (like y) the subject in both equations.
- Set the two expressions equal and solve for x.
- Substitute the x value back to find y.
🛎️ Substitution Method
- Rearrange one equation to express one variable in terms of the other, for example y = x − 1.
- Substitute this into the other equation so it has only one variable, then solve.
- Exam tip: always substitute both values back into the original equations to check.
🛎️ Choosing the Right Method
- Use equal values when the same variable is easy to make the subject.
- Use substitution when one equation is easy to rearrange to remove one variable.
- Both methods give the same solution for x and y.
Practice Questions
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Simultaneous equations: equal values and substitution method
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