System of Equations

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

How many solutions do two equations that produce the same line have?

Back

Infinitely many.

Front

Solve the system of equations: x + 5y = -27 and -2x - 5y = 24.

Back

(3, -6)

Front

What is the solution to this system of equations? Solve by substitution or graphing: 2x + 3y = 6 and x - y = 1.

Back

(3, 0)

Front

Intersecting lines have how many solution(s)?

Back

One.

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 infinitely many solutions?

Back

The equations represent the same line.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel, existing in different planes.