Solving Systems by Elimination (Addition)

Front

What is the first step in solving a system of equations by elimination?

Back

Get both equations in standard form and line up the like terms.

Front

What does it mean to solve a system of equations by elimination?

Back

It means to eliminate one variable by adding or subtracting the equations to find the value of the other variable.

Front

What is standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you line up like terms in a system of equations?

Back

Arrange the equations so that the x terms and y terms are in the same order.

Front

What is the elimination method?

Back

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

Front

Solve by elimination: 2x + 3y = 6 and 4x + 6y = 12. What is the solution?

Back

No solution (the equations are dependent).

Front

Solve by elimination: 3x + 2y = 12 and 3x - 2y = 6. What is the solution?

Back

(4,0).

Front

What is a dependent system of equations?

Back

A system where the equations represent the same line, resulting in infinitely many solutions.

Front

What is an independent system of equations?

Back

A system where the equations represent different lines, resulting in exactly one solution.

Front

What is an inconsistent system of equations?

Back

A system where the equations represent parallel lines, resulting in no solution.