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 by elimination: 2x + 9y = -7 and 6x - 3y = 9

Back

(1, -1)

Front

What is the solution to the system of equations: 2x + 3y = 18 and 15x - 3y = 33?

Back

(3, 4)

Front

Solve by elimination: x + y = 10 and x - y = 2

Back

(6, 4)

Front

Solve by elimination: 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

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations is the point(s) where the lines intersect on a coordinate plane.

Front

What is a consistent system of equations?

Back

A consistent system of equations has at least one solution.

Front

What is an inconsistent system of equations?

Back

An inconsistent system of equations has no solutions.