Solving Systems by 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 by elimination?

Back

It means to eliminate one variable by adding or subtracting the equations, allowing the other variable to be solved.

Front

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

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

If two equations are identical, what is the solution to the system?

Back

Infinitely many solutions, as they represent the same line.

Front

What does it mean if a system of equations has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

How do you determine which variable to eliminate first?

Back

Choose the variable that can be easily eliminated by adding or subtracting the equations.

Front

What is the result of multiplying an entire equation by a constant?

Back

It creates an equivalent equation that can be used in the system.

Front

Back

No solution.

Front

Back

2.

Front

Back

(2, -3).