Systems of Equations Review - All Methods

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the substitution method?

Back

A method for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving a system of equations by adding or subtracting equations to eliminate one variable.

Front

What is graphing in the context of systems of equations?

Back

A method of solving a system by plotting the equations on a graph and identifying the point(s) where they intersect.

Front

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

Back

It means the system has no solution because the lines never intersect.

Front

What does it mean if two lines coincide when graphing a system of equations?

Back

It means the system has infinite solutions because the lines are the same.

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into both equations; if it satisfies both, it is a solution.

Front

What is the best method to solve the system: y = 2x + 1 and y = 4x - 1?

Back

Graphing is the best method.

Front

What is the best method to solve the system: y = (1/4)x + 2 and y = (7/4)x - 4?

Back

Graphing is the best method.