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 in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

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 infinite solutions?

Back

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

Front

Solve the system of equations: -2x + y = 10 and 4x - y = -14.

Back

(-2, 6)

Front

Solve the system of equations: 3x + y = -21 and x + y = -5.

Back

(-8, 3)

Front

Solve the system of equations: -6x + 5y = 1 and 6x + 4y = -10.

Back

(-1, -1)

Front

Solve by elimination: -12x - 4y = -8 and -6x - 2y = -4.

Back

infinite solutions

Front

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

Back

(10, -1)