Unit 2-3 Review: Writing Systems of Equations & Inequalities

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

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What is a system of inequalities?

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A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of values that satisfy all inequalities simultaneously.

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How do you represent a constraint in a system of inequalities?

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How do you convert a word problem into a system of equations?

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Identify the variables, translate the relationships and constraints into equations based on the information provided in the problem.

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What is the first step in solving a system of equations?

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The first step is to express one variable in terms of the other using one of the equations, then substitute it into the other equation.

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What is the graphical representation of a system of inequalities?

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The graphical representation consists of shaded regions on a coordinate plane, where each region represents the solutions to the inequalities.

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How do you find the feasible region in a system of inequalities?

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The feasible region is found by graphing all inequalities and identifying the overlapping area that satisfies all constraints.

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What is the significance of the intersection point in a system of equations?

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The intersection point represents the solution to the system, where the values of the variables satisfy all equations.