3. Solving Systems Using Elimination
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What happened to one of the variables when you add two equations in two variables in a system of linear equation?
Method: Elimination
Explanation: Equations are added to eliminate a variable.
Let's review the steps that we need to follow when solving a system of equations by the Elimination Method.
What is done? | |
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Step I | Gather all like terms on the same sides of the equations. |
Step II | Check if the coefficients of one of the variables in both equations are additive inverses of each other or the exact same number. If not, multiply or divide the equations by a constant so that one of the variable terms has the same or opposite coefficients. |
Step III | Add or subtract equations in the system. This will result in one equation in one variable. |
Step IV | Solve the obtained equation in one variable. |
Step V | Substitute the result into one of the equations to find the other variable. |