Solving Systems of Equations

The video tutorial explains how to use the elimination method to solve a system of equations. It begins by clarifying the method and proceeds to solve for x by eliminating y. After finding x, the value is substituted back into one of the original equations to solve for y. The tutorial concludes with the final solution for both variables.

What method is being used to solve the system of equations?

• Substitution Method

• Graphing Method

• Elimination Method

• Matrix Method

What happens when you add the equations 1X - y = 12 and 4X + y = 33?

• The equations become inconsistent

• The y terms cancel out

• The x terms cancel out

• The equations become identical

After adding the equations, what is the resulting equation?

• 5x = 12

• 5x = 9

• 5x = 33

• 5x = 45

What is the value of x after solving the equation 5x = 45?

• x = 45

• x = 12

• x = 9

• x = 5

Into which equation is the value of x substituted?

• The second equation

• The first equation

• A new equation

• An arbitrary equation

What is the equation after substituting x = 9 into 1X - y = 12?

• 9 - y = 12

• 9 + y = 12

• 9 + y = 33

• 9 - y = 33

What is the value of y after solving the equation 9 - y = 12?

• y = 9

• y = 3

• y = -3

• y = -9

What operation is performed to change -y = 3 to y = -3?

• Adding 1

• Multiplying by 1

• Dividing by 1

• Multiplying by -1

What are the final values of x and y?

• x = -9, y = -3

• x = -9, y = 3

• x = 9, y = -3

• x = 9, y = 3

What is the final step in solving the system of equations?

• Reviewing the solution

• Graphing the solution

• Substituting the solution back into the equations

• Checking the solution