Systems of Equation Review

Front

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

Back

The graph consists of parallel lines.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

What is the solution to the system of equations: -4x - 4y = 0 and 4x + 4y = 0?

Back

Infinite number of solutions.

Front

What does the x represent in the equation y = 25x + 40 in the context of a rental fee?

Back

The number of months the saxophone is rented.

Front

What is the solution to the system of equations: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What do parallel lines indicate in a system of equations?

Back

They indicate that there is no solution to the system.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable.

Front

What is the graphical representation of a system of equations with exactly one solution?

Back

The lines intersect at a single point.

Front

What does it mean if two lines are skew?

Back

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

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, the system has no solution.