Solving Systems with Elimination

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Front

What is the solution to the system: 2x + 3y = 12 and x - y = 1?

Back

(3, 2)

Front

Solve the system using elimination: 3x + 4y = 10 and 2x - y = 1.

Back

(2, 1)

Front

If two lines intersect at one point, how many solutions do they have?

Back

1

Front

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

Back

It means the lines are parallel and never intersect.

Front

Solve the following using elimination: 5x + 2y = 12 and 3x - 4y = -6.

Back

(2, 1)

Front

What is the elimination method?

Back

The elimination method is a technique for solving systems of equations by eliminating one variable to solve for the other.

Front

If a system of equations has infinitely many solutions, what does that imply about the lines?

Back

The lines are coincident, meaning they lie on top of each other.

Front

Solve the system: 4x - 2y = 10 and 2x + y = 5.

Back

(3, 1)

Front

What is the first step in the elimination method?

Back

To manipulate the equations so that one variable can be eliminated.