Solving systems of equations by elimination

Front

What is a system of equations?

Back

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

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 to find the value of the other variable.

Front

What is the elimination method?

Back

A method for solving systems of equations by eliminating one variable, allowing for the other variable to be solved.

Front

How do you determine which variable to eliminate?

Back

Choose the variable that can be easily eliminated by adding or subtracting the equations.

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations so that like terms are in the same column.

Front

Solve by elimination: -9x - 4y = -20 and 5x + 4y = 4.

Back

(4, -4)

Front

Solve by elimination: -x + 2y = 17 and 2x + 2y = -10.

Back

(-9, 4)

Front

Solve by elimination: -5x + 5y = -5 and x - 5y = -7.

Back

(3, 2)

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and there are countless points of intersection.

Front

What does it mean if a system of equations has no solutions?

Back

It means that the equations represent parallel lines that never intersect.