Systems of Equations: Solve by Elimination | Methods & Examples
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Systems of Equations: Solve by Elimination | Methods & Examples
In this lesson, learn the systems of equations elimination method and learn the steps to solve by elimination with examples, solutions, and practice problems.
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The elimination method is one of the most powerful ways to solve systems of equations. Instead of solving for one variable first like substitution, elimination lets you "cancel out" one variable completely by adding or subtracting the equations. The key is making the coefficients of one variable opposites so they eliminate each other when combined. Start by looking at the coefficients and deciding which variable to eliminate. In this system, notice that the y-coefficients are already opposites:
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The elimination method is one of the most powerful ways to solve systems of equations. Instead of solving for one variable first like substitution, elimination lets you "cancel out" one variable completely by adding or subtracting the equations. The key is making the coefficients of one variable opposites so they eliminate each other when combined. Start by looking at the coefficients and deciding which variable to eliminate. In this system, notice that the y-coefficients are already opposites:
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