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