Lesson 214 of 1524
2.6 Solving Systems by Elimination, Part 3
Then you created new equations by multiplying any of the original equations by the same number.
Practice this chapterThen you created new equations by multiplying any of the original equations by the same number. After graphing these new equations, you learned that multiplying an entire equation by a number does not change its solution
By solving the new system of equations, you showed that the solution to the system of equations was not changed from the original system of equations Since any one of the original equations can be multiplied by any number without changing the validity of the equation, there are many ways to cancel out a variable when combining the equations in the system
Be able to explain how multiplying equations by a factor can help us solve systems of linear equations.
Worked example
What does this chapter state?
- 1Then you created new equations by multiplying any of the original equations by the same number.
- 2That claim is the chapter’s own statement.
- 3Answer from the claim, not from where the chapter sits in the book.
Result: Then you created new equations by multiplying any of the original equations by the same number.
Why. The sentence is taken from this chapter’s summary or key concepts.
Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.