Systems of Equations - 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

Solve the system of equations: 3x + 2y = -13 and 3x + 4y = 1.

Back

(-9, 7)

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

Solve the system of equations: -4x + 9y = 9 and x - 3y = -6.

Back

(9, 5)

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

Solve by elimination: 3x + 7y = 23 and -3x - 7y = -17.

Back

No solution

Front

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

Back

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

Front

Solve the system of equations: -8x - 10y = 20 and -8x - 6y = -4.

Back

(5, -6)

Front

What is the first step in the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate.

Front

Solve the system of equations: 2x + 3y = 6 and 4x + 6y = 12.

Back

Infinite number of solutions