5.2 Systems Elimination and Word Problems

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 by elimination?

Back

It means to eliminate one variable by adding or subtracting the equations, allowing you to solve for the other variable.

Front

What is the first step in solving the system 4x + 8y = 20 and -4x + 2y = -30?

Back

You can multiply the first equation by 1 and the second by 1 to align the coefficients for elimination.

Front

Solve the system: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7, -1)

Front

What is the value of y when solving the equation 4x + 8y = 20 for y?

Back

y = -2.

Front

What is the solution to the system 4x - 6y = -6 and -2x - 12y = -12?

Back

(0, 1)

Front

How do you eliminate a variable in the system 2x + 9y = -7 and 6x - 3y = 9?

Back

You can multiply the first equation by 3 and the second by 1 to align the coefficients of x.

Front

Solve by elimination: 2x + 9y = -7 and 6x - 3y = 9.

Back

(1, -1)

Front

What is the solution to the system 5x + 4y = 1 and 10x + 6y = -6?

Back

(-3, 4)

Front

What is the elimination method used for?

Back

To find the values of variables in a system of equations by eliminating one variable.