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 lines representing the equations intersect at exactly one point.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations are the same line, overlapping each other.

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 expression into the other equation.

Front

What is the elimination method?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the graphical method of solving a system of equations?

Back

Plotting both equations on a graph and identifying the point(s) of intersection.

Front

Solve the system: 2x + 3y = 6 and x - y = 1.

Back

(3, 0)

Front

Solve the system: 4x - y = 7 and 2x + 3y = 12.

Back

(3, 2)