Solving Systems of Equations by Elimination

The video tutorial demonstrates how to solve a system of equations using the elimination method. It begins by explaining the concept of elimination, where one variable is removed through addition. The tutorial then walks through the process of solving for X by eliminating Y, followed by substituting the value of X to find Y. The final solution is presented as an ordered pair that satisfies both equations.

What is the primary goal of the elimination method in solving systems of equations?

• To add more variables to the system

• To eliminate one of the variables

• To multiply the equations

• To change the coefficients of the variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

After eliminating the variable y, what equation do we get?

• 10x = 50

• x + y = 50

• 4x + 6x = 50

• 9y = 50

Tags

CCSS.6.EE.B.7

What is the value of x after solving the equation 10x = 50?

• x = 0

• x = 5

• x = 50

• x = 10

Which equation is used to find the value of y after determining x?

• 4x + 6x = 50

• 30 + 9y = 39

• 9y = 39

• x + y = 5

Tags

CCSS.7.EE.B.4A

What operation is performed to isolate y in the equation 30 + 9y = 39?

• Addition

• Multiplication

• Subtraction

• Division

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final solution to the system of equations?

• (5, 5)

• (5, 1)

• (0, 0)

• (1, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6