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Lesson 215 of 1524

2.7 Systems of Linear Equations and Their Solutions

When solving by graphing, the graphs of the equations are the same line.

Practice this chapter

When solving by graphing, the graphs of the equations are the same line. When solving by graphing, the graphs of the equations are parallel lines that never intersect.

When solving by substitution or elimination, you end up with an equation, such as 4 x = 4 x , that is always true no matter what value is used This means there are no values that make both equations in the system true.

Be able to determine how many solutions a system of equations could have.

Worked example

What does this chapter state?

  1. 1When solving by graphing, the graphs of the equations are the same line.
  2. 2That claim is the chapter’s own statement.
  3. 3Answer from the claim, not from where the chapter sits in the book.

Result: When solving by graphing, the graphs of the equations are the same line.

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.