#### CHECK OUT SHMOOP'S FREE STUDY TOOLS: Essay Lab | Math Shack | Videos

# Systems of Linear Equations

# Systems of Linear Equations: Hey, Soul System Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Systems of Linear Equations**Q. Complete the following statement as accurately as possible: A solution to a system of equations

must satisfy one or more of the equations in the system.

must satisfy every equation in the system.

must not satisfy any equations in the system.

is a collection of points containing one point for each equation in the system.

must satisfy the volcano god, or else he will cause hot lava to spew forth from his gaping maw.

Q. Which of the following statements is false?

A system of two linear equations may have no solutions.

A system of two linear equations may have one solutions.

A system of two linear equations may have two solutions.

A system of two linear equations may have infinitely many solutions.

A system of two linear equations won't return any of your phone calls.

Q. What is the solution to the system of equations shown below?

(4, 2)

(2, 4)

(0, 3)

(2, 0)

(0, 4)

Q. Complete the following statement as accurately as possible: If two lines are parallel, they have

no points of intersection.

infinitely many points of intersection.

one point of intersection.

either no points of intersection, or infinitely many points of intersection.

a good chance of making it onto the U.S. Olympic gymnastics team.

Q. Which of the four points

I. (2, 6)

II. (0, -2)

III. (1, -1)

IV. (3, 1)

are solutions to the system of equations

I and II

III and IV

I and IV

II and III

II and IV

Q. To eliminate the variable

*x*from the system of equationswe could

multiply the first equation by 10 and the second equation by 6.

multiply the first equation by -5 and the second equation by 3.

leave the first equation unchanged and multiply the second equation by 5.

multiply the first equation by 11 and the second equation by -15.

buy a bottle of Wite-Out.

Q. Find the value of

*x*in the solution to the system of equations

Q. Find the value of

*y*in the solution to the system of equations

41

26

29

Q. Solve the system of equations

This system has no solutions.

This system has infinitely many solutions.

In some bizarre paradox that threatens to unravel the space-time continuum, all of the above.

Q. Solve the system of equations

This system has no solutions.

(7, 4)

(1, 2)

This system has infinitely many solutions.

This system has so many solutions it's laughable.