Introduction to Systems of Equations

Front

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

Back

The two lines are intersecting lines.

Front

What is the solution to the system of equations graphed by Lesly?

Back

(-3,-8)

Front

Which system of equations represents the situation where Alexandra can give 3 haircuts and 2 hair dyes in 315 minutes and 2 haircuts and 4 hair dyes in 450 minutes?

Back

3x + 2y = 315 and 2x + 4y = 450

Front

What is the solution to the system of equations represented by the points (6, 3), (3, 6), (-6, 3), and No solution?

Back

(6, 3)

Front

Solve the following system by graphing: What is the solution? (3, -2), (3, -3), (-3, 2), (-3, -2)

Back

(3, -3)

Front

What are parallel lines in the context of systems of equations?

Back

Parallel lines have no solutions as they never intersect.

Front

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

Back

The lines are parallel and do not intersect.

Front

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

Back

The two lines are 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.