System of equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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 coincide, meaning they are the same line.

Front

Solve the system of equations: x + 3y = 18 and -x - 4y = -25.

Back

(-3, 7)

Front

How many solutions does the system x + 3y = 18 and -x - 4y = -25 have?

Back

No solution.

Front

Solve the system of equations: 2x + 3y = 12 and x - y = 3.

Back

(3, 2)

Front

Solve the system of equations: -2x + y = 10 and 4x - y = -14.

Back

(-2, 6)

Front

How many solutions does the system -2x + y = 10 and 4x - y = -14 have?

Back

One solution.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.