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ExamPle 1 (p.116) Example 2 (p.117) a table' Solve each system of equations by completing 2.3x*2Y=10 l.y=2x+9 y---x+3 2x + 3Y Solve each system of equations by graphing' 4'Y:2x-4- t.4x-2y:22 '- Y--3x+1 6x+iy=-z Example 3 (pp.117-118) :10 DlGlTAt PHOTOS For Exercis es 5-7, use the information in the graphic' 5. Write equations that represent the cost of prlnting digital Photos at each lab. 6. Under what conditions is the cost to print digital Photos the same for either store? 7. When is it best to use EZ Online Digital Photos and when is it best to use the local PharmacY? Examples 4-6 (pp.118-119) as consistent and Graph each system of equations and describe it inconsistent' or lndip enAent, Lonsistent and ilep endent, 9'x*2Y',:2 2x+4Y-8 8,y:6-* y:x+4 l0'x-2Y=8 Lr--V:n( a table' Solve each system of linear equations by completing See For Exercises I ExamPles I il,r2 | l5-t8 | 1e-26 I 27-32 | 2 +-0 5 ll.y=3x-B A=x-8 12. x+2Y:6 2x+Y=9 Solve each system of linear equations by graphing' 14. 3x -7Y = -6 It. 2x +3Y:12 x +2y =11 2x-y=4 2x+3Y:7 2x-3Y:7 17. 8x -3Y = -3 4x-2Y:-4 15. 5x \r -11.=9 7x-I=8A f.i-*2y:5 2x-Y=6 Grapheachsystemofequationsanddescribei!asconsistentand initip endent, consistent init d<u-endent' or inconsistent' 19.y:x+A A=x-4 zf)tx+y:3 6x*2y:6 t.?d'Y:x*g U:2x+6 2!'Y-x=5 2Y -2x:8 2l'x+Y=4 .-..-n"*!=9 24;4x-2Y=2 't 6*-3Y=9 lines whose equatiorts 25. GEOMETRY The sides of an angle are parts of two vertex is the point where the 2y + 3x: - i*:g]rhe angle's the angle. two sides meet. Finh the coordinater of the vertex of _;';;;i 12O Chapter 3 Systems of Equations and lnequalities t 26. GEOMETRY The graphs of y - 2x:1,4x t ! - 7, and2y - x: -4 the sides of a triangle. Find the coordinates of the vertices of the trianglei the 14 graph that Shows the supply and demand 12 curves for a new multivitamin. In economics, the point at which the supply L\ € ,,n'- lEquilibrium Price ftt I equals the demand is the equilibrium price.If .g i 8 lt l-A \l the supply of a product is greater than the _cE demand, there is a surplus and prices fall. If u Demanc / the supply is less than'the demand, there is u x shbrtage and prices rise. 0 1s0 200 2s0 300 3s0 27. If the price for vitamins is $8.00 a bottle, Quantity (thousands) what is the supply of the product and what is the demand? Will prices tend to rise or fall? 28. If the price for vitamins is $L2.00 a bottle, what is the supply of the product and what is the demand? Will prices tend to rise or fall? 29. At what quantity will the prices stabilize? What is the equilibrium price for this product? ECONOMICS For Exercises 27-29, use See pages 895,928. Gffi Self-Check Ouiz at algebra2.com : ANAIYZE TABTES For Exercises 30-32, use the table s Write equations that represent populations of Florida and New York x years after 2003. Assume that both states continue to gain the same number of residents every year. Let y eqtal the population. !1. Graph both equations for the years Source: U.S. Census Bureau 2003 to 2020. Estimate when the populations of both states will be equal. 12. Do you think New York will overtake Texas as the second most populous state by 201,0? by 2020? Explain your reasoning. 30. Real-World Link.... ln the United States there is approximately qne birth every seconds and one death every 14 seconds. Solve each system of bquations by graphing. oo. I Z{-r y = -3 on. tt - A :0 lt*trr:-, v-t{:6 ou.Lt*+y:g )2, i*- sY:5 Graph each system of equations and describe it as consistent anil inilependent, consistent and dependent, or inconsistent. 58. 2y - 4x:3 17. 3y - x: -2 56. 1..6y :0.4x +'L Source: U.S. Census Bureau 0.4 :0.1'x + 0.25 Graphing Calculator y - 1 -nx .) _a 4^ -{-v:-z To use a TI-83/84 Plus to solve a system of equations, graph the equations. Then, select INTERSECT, which is option 5 under the CALC menu/ to find the coordinates of the point of intersection to the nearest hundredth. 4l.y:0.1.8x+2.7 40. 3.6x - 2y :4 59- y: 0.125x - 3.005 v: -2.58 lL&T. kuh$*ms .. ns are re . . -2.7xlY:3 U:-0'42x+5.1 42. OPEN ENDED Give an example of a system of equations that is consistent and independent. 45. REASONING Explain why a system of linear equations cannot have exactly two solutions. Lesson 3-I Solving Systems of Equations by Graphing 121