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Systems of Linear Equations

(A system of two linearequations representingmore than one line)2. NNCIEOSTINST(A system havingno solution) (An ordered pair that satisfies bothequations in a system of twoequations) (A system of Equations thathas one or more solutions) (A system of two linearequations that represents onlyone line)In this chapterwe solve Systems of Linear Equations in two and threevariables. Some new terms are introduced in the first section of this each word to find a key word from this chapter. As a hint, thereis a clue for each word. Complete the word scramble to familiarize yourselfwith the key ofLinear Systems of Linear Equations by Systems of Equations by Using theSubstitution Systems of Equations by Using the of Systems of Linear Equations in of Linear Equations in Three Variables Systems of Linear Equations by Using Matrices and Cramer s Rule177IA33miL2872X_ch03_177-254 09:22:2006 02:15 PM Page 177 CONFIRMING PAGES178 Chapter 3 Systems of Linear EquationsIA1.

182 Chapter 3 Systems of Linear Equations Figure 3-4 5 4 3123 1 3 5 4 5 1 2 y x 3 2 2 y x 1 1 3 y x 1 2 3 miL2872X_ch03_177-254 09:22:2006 02:15 PM Page 182 CONFIRMING PAGES. IA Notice that the slope-intercept forms of the two lines are identical. Therefore, the equa-tions represent the same line (Figure 3-5).

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