ELIMINATION Learning Check (systems of equations)

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 elimination method?

Back

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

Front

How do you create a zero pair in elimination?

Back

By multiplying one or both equations by a number so that the coefficients of one variable are opposites.

Front

What is the first step in the elimination method?

Back

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

Front

What is standard form of a linear equation?

Back

An equation written as Ax + By = C, where A, B, and C are integers.

Front

How do you eliminate a variable by addition?

Back

Add the two equations together if the coefficients of one variable are opposites.

Front

How do you eliminate a variable by subtraction?

Back

Subtract one equation from the other if the coefficients of one variable are the same.

Front

What is the solution of the system 3x - 2y = 12 and 2x + y = 1?

Back

(2, -3)

Front

What do you multiply the equation 5x - 2y = 11 by to eliminate y with -10x + 3y = -4?

Back

2