Elimination

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

How do you determine which variable to eliminate in a system of equations?

Back

You can determine which variable to eliminate by looking for coefficients that can easily be made equal or opposite through multiplication.

Front

Solve by elimination: 7x + y = -9 and -3x - y = 5

Back

(-1, -2)

Front

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

Back

The variable eliminated is x.

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28

Back

(7, 0)

Front

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

Back

(4, -4)

Front

Solve for x and y: 3x - 3y = 33 and 6x - 3y = 57

Back

(8, -3)

Front

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is a system of equations?

Back

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