Solving Systems by Elimination Review

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What are the three methods of solving systems of equations?

Back

Graphing, substitution, and elimination.

Front

When is the elimination method preferred over substitution?

Back

The elimination method is preferred when the coefficients of one variable are the same or can be easily manipulated to be the same.

Front

What does it mean to eliminate a variable?

Back

To eliminate a variable means to remove it from the equations, allowing you to solve for the remaining variable.

Front

Given the equations 4x + 8y = 20 and -4x + 2y = -30, which variable do you eliminate?

Back

x variable.

Front

What is the solution to the system of equations 4x + 8y = 20 and -4x + 2y = -30?

Back

(7, -1).

Front

What is a system of equations?

Back

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

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate.

Front

What is the result of adding the equations 4x + 8y = 20 and -4x + 2y = -30?

Back

The result is 10y = -10, which simplifies to y = -1.

Front

What is the best method to solve the system -4x - 2y = -12 and 4x + 8y = -24?

Back

Elimination because the equations have matching coefficients.