Elimination Practice

Front

What is the Elimination Method in solving systems of equations?

Back

The Elimination Method is a technique used to solve systems of linear equations by eliminating one variable, allowing for the solution of the remaining variable.

Front

How do you eliminate a variable in a system of equations?

Back

To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one variable are opposites, allowing you to add or subtract the equations.

Front

What is the first step in using the Elimination Method?

Back

The first step is to align the equations and decide which variable to eliminate.

Front

Given the equations 2x + 3y = 6 and 4x + 6y = 12, what can you conclude?

Back

The second equation is a multiple of the first, indicating that the two equations represent the same line and have infinitely many solutions.

Front

What does it mean if a system of equations has no solution?

Back

A system has no solution if the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has exactly one solution?

Back

A system has exactly one solution if the lines represented by the equations intersect at a single point.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.

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Back

(4, -4)

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Back

(10, -1)

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(7, 0)