Category Archives: Lesson 07: Systems of Equations and Inequalities

Systems Involving Non Linear Equations

As expected, solving systems of linear equations can be extended into systems involving non linear equations such as quadratic equations. Examples of quadratic equations include parabolas, circles, ellipses, and hyperbolas. One important distinction between these systems and the previous linear … Continue reading

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3. Solving Systems of Linear Inequalities

The graph of a system of linear inequalities is the intersection of the half-planes of each inequality of the system. In other words, it will be the double or triple shaded section, depending on the number of equations in the … Continue reading

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2. Solving Linear Systems Using Algebra

There are two methods you can use to solve a system of equations algebraically; Substitution and Simultaneously. Substitution To use substitution, first you solve one equation for x or y. You then substitute the equation into the other and solve … Continue reading

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1. Solving Linear Systems of Equations by Graphing

The graph of a system of two linear equations tells you how many solutions the system has. If the lines intersect (not necessarily perpendicular), they will have one solution. In this example, the lines are perpendicular and therefore their slopes … Continue reading

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