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?

Back

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

Front

What is the elimination method?

Back

A technique for solving systems of equations by removing one variable, allowing for the solution of the other variable.

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

What is the first step in using elimination to solve a system of equations?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

Solve the following system by elimination: 3x - 5y = 8 and 2x + 5y = -3.

Back

(1, -1)

Front

Solve the following system by elimination: -2x - 5y = -15 and x + 8y = 13.

Back

(5, 1)

Front

Solve the following system by elimination: -9x - 2y = -23 and -10x - 5y = -20.

Back

(3, -2)

Front

Solve the following system by elimination: -3x - 6y = 24 and 4x + 4y = 4.

Back

(10, -9)

Front

What is a consistent system of equations?

Back

A system that has at least one solution.