Solving Equations with Elimination

This video tutorial explains how to use the method of elimination to solve simultaneous equations. The instructor demonstrates the process by adjusting the coefficients of the variables to eliminate one variable, solving for the other, and then substituting back to find the eliminated variable. The example provided involves eliminating the Y variable to solve for X, and then using the value of X to find Y. The tutorial concludes with the final solution for both variables.

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

• To eliminate one variable

• To add more variables

• To divide equations

• To multiply equations

What happens when you subtract one equation from another in the elimination method?

• You divide the equations

• You add a new variable

• You multiply the equations

• You eliminate a variable

What is the first step in using the method of elimination?

• Align the coefficients

• Multiply the equations

• Subtract the equations

• Add the equations

In the example, what common factor is used to make the coefficients of 'y' the same?

• 3

• 4

• 6

• 5

What is the purpose of making the coefficients of 'y' the same in both equations?

• To add a new variable

• To eliminate 'x'

• To solve for 'z'

• To eliminate 'y'

Why do we multiply the first equation by 3 in the example?

• To eliminate 'y'

• To make the coefficient of 'y' the same

• To make the coefficient of 'x' the same

• To eliminate 'x'

After aligning the coefficients, what is the next step in the elimination method?

• Divide the equations

• Multiply the equations

• Add the equations

• Subtract the equations

What is the value of 'x' after solving the aligned equations?

• 3

• 5

• 6

• 4

What operation is performed after aligning the coefficients to eliminate a variable?

• Division

• Multiplication

• Addition

• Subtraction

What is the result of adding the two equations after aligning the coefficients?

• 20x = 100

• 19x = 95

• 22x = 110

• 21x = 105