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 two equations have the same slope but different y-intercepts?

Back

The system has no solution because the lines are parallel.

Front

What does it mean if two lines intersect at one point?

Back

The system has one solution, which is the point of intersection.

Front

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

Back

(9, -3)

Front

Solve the system of equations: y = 4x - 10 and y = 3x - 5.

Back

(5, 10)

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13.

Back

(1, 5)

Front

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

Back

The two 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 then 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 a system of equations has no solution?

Back

The lines are parallel and do not intersect.