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Lesson 213 of 1524

2.5 Solving Systems by Elimination, Part 2

By determining that the equation was still true, you discovered that adding equivalent values to each side of an equation maintains its truth

Practice this chapter

By determining that the equation was still true, you discovered that adding equivalent values to each side of an equation maintains its truth You then determined that adding these equations together results in a third equation with the same solution

Some systems of equations are more suited to be solved by substitution and others by elimination You reinforced that to solve a system using elimination by adding, the coefficients of one of the variables must be the same value and have opposite signs.

Be able to explain why adding or subtracting two equations that share a solution results in a new equation that also shares the same solution.

Worked example

What does this chapter state?

  1. 1By determining that the equation was still true, you discovered that adding equivalent values to each side of an equation maintains its truth
  2. 2That claim is the chapter’s own statement.
  3. 3Answer from the claim, not from where the chapter sits in the book.

Result: By determining that the equation was still true, you discovered that adding equivalent values to each side of an equation maintains its truth

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.