Benchmark #2 Review

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What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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What does substitution mean in solving equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into another equation.

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How do you solve the system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

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What is elimination in solving systems of equations?

Back

Elimination is a method where you add or subtract equations to eliminate one variable, making it easier to solve for the other variable.

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How do you solve the system of equations using elimination?

Back

1. Align the equations. 2. Multiply if necessary to get coefficients to match. 3. Add or subtract the equations to eliminate one variable.

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(2, -2)

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(3, 0)

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(8, 2)

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(10, 8)

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(0, -5)