Identifying and Solving System of Equations

In a magical math land, Luna and Ethan are solving a system of equations. If their system is consistent and has exactly one solution, what is it called?

• independent

• none of the above

• inconsistent

• dependent

• A

• B

• C

• D

A consistent system that has infinitely many solutions is

• dependent

• consistent

• independent

• inconsistent

Which of the following describes a system with exactly one solution?

• consistent

• dependent

• inconsistent

• independent

A system of equations will have no solution when...

• it is comprised of 2 parallel lines

• solving algebraically produces zero as an answer

• an attempt to solve makes all variables cancel, leaving an untrue statement (like 5 = -7)

• an attempt to solve makes all variables cancel, leaving a true statement (like 6 = 6)

6x + y = + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• same lines

What is the solution to the system of linear equations?

• No Solutions

• Infinitely Many Solutions

• (0, 0)

• (1, 2)

A system of equations will have no solution when...

• it is comprised of 2 parallel lines

• solving algebraically produces zero as an answer

• an attempt to solve makes all variables cancel, leaving an untrue statement (like 5 = -7)

• an attempt to solve makes all variables cancel, leaving a true statement (like 6 = 6)

Which system of equations has a graph that shows intersecting lines with (3, −1) as a solution?

• a.

• b.

• c.

• d.