# Simultaneous Equations & Nature of Roots

> This section does two linked algebraic skills. First: solve a linear equation and a quadratic equation simultaneously for ordered pairs (x;y). Second: use the discriminant Δ=b^2-4ac to state the…

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## Full notes

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## More in Algebraic expressions, equations and inequalities

- [Quadratic Inequalities](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities/quadratic-inequalities) — Previous section
- [All Algebraic expressions, equations and inequalities sections](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities)

## Frequently asked questions

### What will I learn in "Simultaneous Equations & Nature of Roots"?

This section covers Simultaneous Equations & Nature of Roots as part of Algebraic expressions, equations and inequalities in Grade 11 Mathematics. You'll find clear explanations, worked examples, and key definitions aligned to the CAPS curriculum.

### Is this section aligned with the CAPS curriculum?

Yes. All notes on Hlayiso, including "Simultaneous Equations & Nature of Roots", are written against the official CAPS curriculum and ATP for Grade 11 Mathematics.

### What should I study after "Simultaneous Equations & Nature of Roots"?

Continue with the next section in Algebraic expressions, equations and inequalities, or test your understanding with the interactive quiz linked to this section.

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