Solving Systems by Graphing, Substitution and Elimination

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

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

Back

It means there is no solution to the system because the lines never intersect.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect on a graph.

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 elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

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

Back

The two equations represent the same line, meaning every point on the line is a solution.

Front

How do you graph a linear equation?

Back

By plotting points that satisfy the equation and connecting them to form a line.

Front

What is the graphical representation of the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other.

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What is the first step in solving a system of equations by elimination?

Back

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