Solving Systems/Elimination with Multiplication

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What is a system of equations?

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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 elimination mean in the context of solving systems of equations?

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Elimination is a method for solving systems of equations by removing one variable, allowing you to solve for the other variable.

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How do you use elimination to solve a system of equations?

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1. Align the equations. 2. Multiply one or both equations to obtain coefficients that are opposites. 3. Add or subtract the equations to eliminate one variable. 4. Solve for the remaining variable.

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What is the ordered pair solution of a system of equations?

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The ordered pair solution (x, y) represents the values of the variables that satisfy both equations in the system.

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(4, 3)

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(-3, 0)

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(1, 2)

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What is the first step in using elimination to solve a system of equations?

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The first step is to align the equations so that corresponding variables and constants are in the same columns.

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What do you do if the coefficients of one variable are already opposites?

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If the coefficients of one variable are already opposites, you can directly add the equations to eliminate that variable.

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What should you do if the coefficients are not easily made opposites?

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You can multiply one or both equations by a number to create opposite coefficients for one of the variables.