System of Equations Elimination

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the elimination method?

Back

A technique for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

How do you determine if a system of equations has no solution?

Back

If the equations represent parallel lines, they will never intersect, indicating no solution.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

Solve the system: -x - 7y = 9 and -x + 9y = -23.

Back

(5, -2)

Front

Solve the system: x - y = 11 and 2x + y = 19.

Back

(10, -1)

Front

Solve the system by elimination: -7x + 6y = 29 and 10x + y = 16.

Back

(1, 6)

Front

Solve the system: -4x - 4y = 0 and 4x + 4y = 0.

Back

Infinite number of solutions.

Front

Solve the system using elimination: 5x + y = 9 and 10x - 7y = -18.

Back

(1, 4)