system of equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has one solution?

Back

The graphs of the equations intersect at exactly one point.

Front

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

Back

The graphs of the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The graphs of the equations are the same line.

Front

How can you solve a system of equations?

Back

By substitution, elimination, or graphing.

Front

What is the substitution method?

Back

A method where you solve one equation for one variable and substitute that into the other equation.

Front

What is the elimination method?

Back

A method where you add or subtract equations to eliminate one variable.

Front

What is the graphical method?

Back

A method where you graph each equation and find the point of intersection.

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is the solution to the system of equations 2x + 3y = 6 and x - y = 1?

Back

(3, 0)