Solving Systems by Substitution

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What is a system of equations?

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A set of two or more equations with the same variables that are solved together.

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What does it mean to solve a system of equations by substitution?

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It involves solving one equation for one variable and substituting that expression into the other equation.

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

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Isolate one variable in one of the equations.

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(-3, 1)

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(0, 1)

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(2, 0)

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What does it mean if a system of equations has no solution?

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The lines represented by the equations are parallel and do not intersect.

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What does it mean if a system of equations has infinite solutions?

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The equations represent the same line, meaning every point on the line is a solution.

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No Solution

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What is the substitution method used for?

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To find the values of variables that satisfy all equations in a system.