Systems of Equations

Front

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

Back

The graph consists of parallel lines.

Front

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

Back

(1, 5)

Front

Is (4, 1) a solution for the system of equations y = -x + 5 and y = 2x - 7?

Back

Yes

Front

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. How long does it take her to do a haircut?

Back

45 minutes

Front

What is the solution to the system of equations: 2x + 3y = 12 and x - y = 1?

Back

(3, 2)

Front

What does it mean if two lines in a system of equations intersect?

Back

It means the system has one unique solution.

Front

What is the graphical representation of a consistent system of equations?

Back

The lines intersect at one point.

Front

What is the solution to the system of equations: x + y = 10 and x - y = 2?

Back

(6, 4)

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations and check if both are true.