Solving Systems with Elimination

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 does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, they have no points in common, meaning there are no solutions to the system of equations.

Front

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

Back

(4, -4)

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and manipulate them to eliminate one variable.

Front

Solve using elimination: -4x - 2y = -12 and 4x + 8y = -24.

Back

(6, -6)

Front

What happens if the two equations in a system represent the same line?

Back

If they represent the same line, there are infinitely many solutions.

Front

Solve using elimination: -6x + 5y = 1 and 6x + 4y = -10.

Back

(-1, -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

Solve using elimination: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7, -1)

Front

What is the goal of the elimination method?

Back

The goal is to simplify the system to one equation with one variable, making it easier to solve.