Practice: Solving systems by elimination

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

What does it mean to eliminate a variable in a system of equations?

Back

To eliminate a variable means to manipulate the equations so that one variable cancels out, making it possible to solve for the other variable.

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, often by multiplying one or both equations to create coefficients that are opposites.

Front

How do you determine which variable to eliminate?

Back

Choose the variable that can be easily eliminated based on the coefficients of the variables in the equations.

Front

What is the solution to the system of equations: -4x - 3y = -15 and 4x - 7y = -15?

Back

y = 3

Front

What is the first step to solve the system: 5x + 7y = 77 and 5x + 3y = 53?

Back

Multiply the bottom row by -1 in order to eliminate the x's.

Front

What is the solution to the system of equations: 2x + 5y = 10 and x + 3y = 7?

Back

(-5, 4)

Front

What is the first step to solve the system: 2x + 5y = 10 and x + 3y = 7?

Back

Multiply the bottom equation by -2 in order to eliminate the x's.

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.