Solving Systems of Equations-Review

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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 to solve a system of equations by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

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What is the first step in solving a system by Substitution?

Back

Make sure at least one equation is solved for one variable.

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What is the graphical interpretation of a system of equations?

Back

The solution is the point where the graphs of the equations intersect.

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution to the system because the lines never intersect.

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What does it mean if two lines coincide in a system of equations?

Back

It means there are infinitely many solutions because the lines are the same.

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How do you represent a system of equations algebraically?

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By writing two or more equations that include the same variables.

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(6, 4)

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What is the elimination method in solving systems of equations?

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It involves adding or subtracting equations to eliminate one variable.

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How can you check if your solution to a system of equations is correct?

Back

By substituting the solution back into the original equations to see if they hold true.