Honors Algebra - Unit 5 Review - Systems of Equations 2024

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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

It means that the equations represent parallel lines that never intersect.

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

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It means that the equations represent the same line, so every point on the line is a solution.

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How do you determine the solution of a system of equations graphically?

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

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What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

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What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

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Back

A straight line on a graph where any point on the line is a solution to the equation.

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Back

There is no solution.

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(2, 5)

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How can you find the point where two cab companies have the same cost?

Back

By setting their cost equations equal to each other and solving for the variable.