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

Can you combine two linear equations if the coefficients are not opposites?

Back

False

Front

What is the solution to the system of equations: -5x + 2y = -3 and 5x + y = -9?

Back

(-1, -4)

Front

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

Back

(3, 4)

Front

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the elimination method?

Back

The elimination method is a technique for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

What is the solution to the system of equations: 3x + 7y = 23 and -3x - 7y = -17?

Back

No solution

Front

If two equations represent the same line, what is the solution?

Back

Infinitely many solutions (ARN - All Real Numbers).

Front

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

Back

Align the equations so that like terms are in the same column.

Front

What happens when you add two equations together in a system?

Back

You can eliminate one of the variables if the coefficients are opposites.