Solving Systems of Equations by Elimination

Front

What is a system of equations?

Back

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

Front

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

Back

To find the values of the variables that satisfy all equations in the system by eliminating one variable.

Front

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

Back

Get both equations in standard form and line up the like terms.

Front

What is standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

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

Front

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.

Front

Solve by elimination: 3x + 7y = 23 and -3x - 7y = -17.

Back

No solution.

Front

Solve by elimination: 7x + y = -9 and -3x - y = 5.

Back

(-1,-2).

Front

Solve using elimination: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7,-1).