System of Equations Elimination

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 in solving systems of equations?

Back

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

Front

How do you eliminate a variable in a system of equations?

Back

By manipulating the equations (adding or subtracting) so that one variable cancels out.

Front

What is the first step in using the elimination method?

Back

Align the equations so that the coefficients of one variable are opposites or can be made opposites.

Front

Solve the system of equations: x + 3y = 18 and -x - 4y = -25.

Back

(-3, 7)

Front

Solve the system of equations: -2x + y = 10 and 4x - y = -14.

Back

(-2, 6)

Front

Solve the system of equations: -x - 7y = 9 and -x + 9y = -23.

Back

(5, -2)

Front

Solve the system of equations: 3x + y = -14 and -2x - y = 9.

Back

(-5, 1)

Front

Solve the system of equations: 3x + y = -21 and x + y = -5.

Back

(-8, 3)