11/28 Systems of Equations REVIEW

Front

What is a system of equations?

Back

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

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

Back

The lines represented by the equations are parallel and never intersect.

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What does it mean if a system of equations has one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

The lines represented by the equations are the same line.

Front

How do you solve a system of equations using elimination?

Back

You manipulate the equations to eliminate one variable, allowing you to solve for the other.

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What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate a variable.

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What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

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What is the graphical method for solving systems of equations?

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Plotting the equations on a graph and identifying the point(s) where they intersect.

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

Back

Align the equations so that like terms are in the same column.

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What is a linear equation?

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An equation that makes a straight line when graphed, typically in the form y = mx + b.