Section 3.1 Solving Systems of Linear Equations by the Graphing Method 241 First graph the equations together on the same viewing window. Recall that to enter the equations into the calculator, the equations must be written with the y variable isolated. Isolate y. 2x y 6 y 2x 6 5x y 1 y 5x 1 By inspection of the graph, it appears that the solution is ( ). The Trace option on the calculator may come close to ( ) but may not show the exact solution (Figure 3-6). However, an Intersect feature on a graphing calculator may provide the exact solution (Figure 3-7). See your user’s manual for further details. 1, 4 Using Trace Using Intersect Section 3.1 Practice Exercises 1, 4 Figure 3-6 Figure 3-7 Study Skills Exercise Before you proceed further in Chapter 3, make your test corrections for the Chapter 2 test. See Exercise 1 of Section 2.1 for instructions. Vocabulary and Key Concepts 1. a. A of linear equations consists of two or more linear equations. b. A to a system of linear equations is an ordered pair that is a solution to both individual equations in the system. c. Graphically, a solution to a system of linear equations in two variables is a point where the lines . d. A system of equations that has one or more solutions is said to be . e. The solution set to an inconsistent system of equations is . f. Two equations in a system of linear equations in two variables are said to be if they represent the same line. g. Two equations in a system of linear equations in two variables are said to be if they represent different lines.
miller_intermediate_algebra_4e_ch1_3
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