Systems of Equations

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

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

Back

System of equations.

Front

Solve for x and y: y = 2x + 1, y = 4x - 1

Back

(1, 3)

Front

What is the solution to the system of equations: y = 3x + 2, y = -x + 4?

Back

(1, 5)

Front

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

Back

Solution of a system.

Front

What do you call lines that intersect at one point in a system of equations?

Back

Consistent and independent.

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 a system of equations is inconsistent?

Back

It has no solution.

Front

What is the graphical representation of a system of equations with infinitely many solutions?

Back

Coinciding lines.

Front

If two equations represent the same line, what type of system do they form?

Back

Dependent system.