Systems of Equations

Front

A ________________ is a set of two or more equations that have the same variables.

Back

system of equations

Front

What is the solution to the system of equations? y = 3x - 8, y = 4 - x

Back

(3,1)

Front

What kind of lines have no solution to a system of equations?

Back

Parallel Lines

Front

Find the solution to the system: y = x-6, y = -3x + 2

Back

(2, -4)

Front

The ordered pair that satisfies all equations in the system is called a ________________.

Back

solution of a system

Front

What is the elimination method in solving systems of equations?

Back

A method to eliminate one variable by adding or subtracting equations.

Front

What does it mean if two lines intersect at one point in a system of equations?

Back

The system has one unique solution.

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.

Front

What are overlapping lines in the context of systems of equations?

Back

Lines that represent the same equation, having infinitely many solutions.