Systems of Equations

Front

What is the ordered pair that satisfies all equations in a system?

Back

solution of a system

Front

Define a system of equations.

Back

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

Front

What is the solution to the system of equations y = x - 6 and y = -3x + 2?

Back

(2, -4)

Front

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

Back

Parallel lines.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection points of the lines representing the equations.

Front

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

Back

It means there is a unique solution to the system.

Front

What does it mean if two lines are coincident in a system of equations?

Back

It means there are infinitely many solutions to the system.

Front

What is the method called when you solve a system of equations by substituting one equation into another?

Back

Substitution method.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution.