Solving Systems of Linear Equations Quiz

What is the method called in German for solving systems of linear equations by setting them equal to each other?

• Gleichungssystem

• Gleichungslösung

• Gleichsetzen Verfahren

• Gleichgewicht

In the first example, what is the x-coordinate of the intersection point of the lines y = 2x - 11 and y = 3x - 4?

• 5

• 4

• 3

• 2

What is the y-coordinate of the intersection point for the first example?

• -5

• -4

• -3

• -6

How do you verify the solution of a system of equations?

• By solving the equations again

• By graphing the equations

• By substituting the solution into both equations

• By checking if the solution satisfies only one equation

In the second example, what is the common variable both equations are solved for?

• x

• 8y

• y

• 4x

What is the y-coordinate of the intersection point in the second example?

• 2

• 1

• -1

• 0

What is the x-coordinate of the intersection point in the second example?

• 6

• 5

• 8

• 7

What is the purpose of multiplying the entire equation by -1 in the second example?

• To solve for y

• To simplify the equation

• To change the sign of all terms

• To eliminate the y variable

What is the final step in verifying the solution of a system of equations?

• Re-solving the equations

• Substituting the solution in both equations

• Graphing the solution

• Checking the solution in one equation

What should you do if you find a mistake in your solution during verification?

• Ignore it

• Re-calculate the solution

• Change the equations

• Ask for help