8.3 Systems of Equations (No Mult)

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 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 in solving systems of equations?

Back

A method where one variable is eliminated by adding or subtracting the equations.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and every point on the line is a solution.

Front

How do you determine if a system of equations has one solution?

Back

If the lines represented by the equations intersect at exactly one point.

Front

Solve the system: 4x + 2y = 8 and 2x + y = 4.

Back

(2, 0)

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

Solve the system: 3x + 4y = 12 and 6x + 8y = 24.

Back

Infinite number of solutions.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.