Solving Systems of Equations with Elimination Techniques

The video tutorial explains how to solve systems of equations using the elimination method. It begins with an introduction to the concept, followed by a detailed example where equations are manipulated to eliminate variables. The process involves multiplying equations to align coefficients, allowing for variable cancellation. A second, more complex example is provided, demonstrating the use of least common multiples to eliminate variables. The tutorial emphasizes understanding the manipulation of equations to achieve elimination and verify solutions.

What method is being used to solve the systems of equations in this tutorial?

• Elimination

• Graphing

• Factoring

• Substitution

Why can't we directly add or subtract the given equations in the first example?

• It would change the coefficients.

• It would eliminate both variables.

• It would not eliminate any variables.

• It would result in a complex number.

What should we multiply the second equation by to cancel out the y terms in the first example?

• 2

• -5

• 5

• -2

After eliminating the y terms in the first example, what is the value of x?

• 1

• 0

• -1

• 3

What is the value of y in the first example after solving the system?

• -1/2

• 1/2

• 3/2

• -3/2

In the second example, which variable is chosen to be eliminated first?

• y

• Both x and y

• Neither

• x

What should we multiply the first equation by to prepare for eliminating the x terms in the second example?

• 7

• -5

• -7

• 5

What is the least common multiple of the coefficients of x in the second example?

• 49

• 15

• 35

• 21

What is the value of y in the second example after solving the system?

• 5/4

• 3/4

• 7/4

• 1/4

What is the value of x in the second example after solving the system?

• 1/4

• 3/4

• 5/4

• 7/4