<h2>Solving Simultaneous Equations</h2>
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<p>Up to now we have solved equations with only one unknown variable. When solving for two unknown variables, two equations are required and these equations are known as simultaneous equations. The solutions are the values of the unknown variables which satisfy both equations simultaneously. In general, if there are \(n\) unknown variables, then \(n\) independent equations are required to obtain a value for each of the \(n\) variables.</p>
<p>An example of a system of simultaneous equations is:</p>

\begin{align*} x + y &amp; = -1 \\ 3 &amp; = y - 2x \end{align*}

<p>We have two independent equations to solve for two unknown variables. We can solve simultaneous equations algebraically using substitution and elimination methods. We will also show that a system of simultaneous equations can be solved graphically.</p>
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Solving Simultaneous Equations

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Explore various methods for solving equations and inequalities, including linear and quadratic equations, simultaneous equations, solving graphically, literal equations, and quadratic inequalities, with a focus on understanding interval notation and the nature of roots.


Equations and Inequalities

Completing The Square

Finding The Equation

Literal Equations

Nature Of Roots

Quadratic Formula

Quadratic Inequalities

Simultaneous Equations Continued

Solving Linear Equations

Solving Linear Inequalities

Solving Quadratic Equations

Substitution

Summary

Word Problems

Word Problems Continued

Solving Simultaneous Equations

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