# Solving a System of Equations with the Elimination Method.

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Solving a System of Equations with the Elimination Method

The Elimination Method + – + – = + – + – = Combine these two mats into one mat

The Elimination Method + – = + – CHECKS:

Elimination Method Solve the following system of equation: Add the equations to eliminate a variable: Solve the other variable: Check in both Equations: Answer the question:

Elimination Method Solve the following system of equation: Add the equations to eliminate a variable: Solve the other variable: Check in both Equations: Answer the question: In order to add, there must be opposites to eliminate.

Adding and Subtracting Fractions Add the Numerators Least Common Denominator (if you can find it) Common Denominator Addition: Subtraction: Subtract the Numerators

Elimination Method Solve the following system of equation: The Elimination Method is similar to adding/subtracting fractions, except that you want opposites. The goal is to multiply equations, if needed, so the coefficients (the number before a variable) for one of the variables is opposite of the other. Pick a variable to eliminate: xy

Elimination Method Solve the following system of equation: Check in both Equations: Sometimes you need to multiply BOTH equations to have opposite coefficients on the same variable Add the equations to eliminate a variable Solve for the other variable Answer the question

Elimination Method Solve the following system of equation: The Elimination Method is similar to adding/subtracting fractions, except that you want opposites. The goal is to multiply equations, if needed, so the coefficients (the number before a variable) for one of the variables is opposite of the other. Pick a variable to eliminate: xy Now solve the problem by eliminating the other variable.

Elimination Method Solve the following system of equation: Check in both Equations: Sometimes you need to multiply BOTH equations to have opposite coefficients on the same variable Add the equations to eliminate a variable Solve for the other variable Answer the question