SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION

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What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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What does it mean to solve a system of equations by elimination?

Back

It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the first step in using the elimination method?

Back

Align the equations so that like terms are in the same column.

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

Back

By adding or subtracting the equations to cancel out one of the variables.

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What does it mean if two lines represented by a system of equations are parallel?

Back

They have no solutions because they never intersect.

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What does it mean if two lines represented by a system of equations are the same line?

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They have an infinite number of solutions because every point on the line is a solution.

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What is a unique solution in the context of systems of equations?

Back

It is when the two lines intersect at exactly one point, representing one solution.

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How can you check if your solution to a system of equations is correct?

Back

By substituting the solution back into the original equations to see if both equations are satisfied.

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What is the graphical representation of a system of equations?

Back

It is the intersection points of the lines represented by the equations on a coordinate plane.