Solving Systems of Equations by Elimination

The video tutorial explains how to solve systems of equations using the elimination method, also known as linear combination. It compares elimination with other methods like graphing and substitution, highlighting its advantages. The tutorial provides multiple examples, demonstrating how to adjust equations and handle complex or opposite coefficients to effectively use elimination.

Which method is described as cumbersome and least effective for solving systems of equations?

• Elimination

• Substitution

• Graphing

• Guess and Check

What is the main goal when using the elimination method to solve systems of equations?

• To guess the solution

• To cancel out a variable

• To substitute variables

• To graph the equations

In the first example, what is the value of x after elimination?

• 1

• 2

• 3

• 4

What should you do if initial elimination does not cancel a variable?

• Graph the equations

• Try a different method

• Multiply or divide the equations

• Guess the solution

In the second example, what is the value of y after solving?

• 1.4

• 2.4

• 3.4

• 4.4

What is a key strategy when coefficients are not the same in elimination?

• Ignore the coefficients

• Multiply to create opposite coefficients

• Use guess and check

• Add more equations

In the third example, what is the value of y after solving?

• 4

• 5

• 6

• 7

What should you always remember to do after finding one variable?

• Check the solution with a calculator

• Graph the solution

• Substitute it back into the original equation

• Guess the other variable

In the final example, what is the value of x after solving?

• 0

• 15

• 10

• 5

What is a common mistake students make when manipulating equations?

• Forgetting to multiply the entire equation

• Using the wrong method

• Guessing the solution

• Graphing incorrectly