In Exercises 15–24, solve the systems of equations by elimination, if a solution exists.
23.
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EBK COLLEGE ALG.IN CONTEXT W/APPL.F/MAN
- For Exercises 73–80, (a) evaluate the discriminant and (b) determine the number and type of solutions to each equation. (See Example 9) 73. Зх? 4х + 6 3D 0 74. 5x - 2x + 4 = 0 75. - 2w? + 8w = 3 76. -6d + 9d = 2 77. Зx(х — 4) 3D х — 4 78. 2x(x – 2) = x + 3 79. –1.4m + 0.1 = -4.9m² 80. 3.6n + 0.4 = -8.1n?arrow_forward5. (06.03) 5.(06.03) How can X-3 X+8 be set up as a system of equations? 4. 2. Bi U Font Family - AA- A =arrow_forward8. Identify the number of solutions from the description of the equations. Two equations are the same on one side but different on the other. • One of the equations in the system can be rewritten so it is identical to the other equation.arrow_forward
- For Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11) 81. (2x + 5)? – 7(2x + 5) - 30 = 0 82. (Зх — 7)? - 6(3х — 7)-16 3D 0 83. (x + 2x)? – 18(r + 2x) = -45 84. (x + 3x)? - 86. (у? — 3)? — 9(y? — 3) — 52 %3D 0 14(x + 3x) = -40 85. (x + 2)2 + (x + 2) – 42 = 0 10 2 10 - 61 m - - 27 = 0 x + + 35 = 0 87. 88. - 121 x + т - m m 89. 2 + 2 + = 12 90. + 3 + 6 + 3 = -8 91. 5c2/5 11c/5 + 2 = 0 92. З3 d'/3 – 4 = 0 93. y'/2 – y/4 6 = 0 94. n'/2 + 6n/4 – 16 = 0 95. 9y 10y + 1 = 0 96. 100х-4 29x-2 + 1 = 0 | 97. 4t – 25 Vi = 0 98. 9m – 16Vm = 0 100. 392 + 16q -1 99. 30k-2 – 23k- + 2 = 0 + 5 = 0arrow_forwardProof 2 implies 3 ,not type solution pleasearrow_forwardExercises 59–66: Use the intersection-of-graphs method to solve the equation. Then solve symbolically. 63. -х + 4 %3D 3хarrow_forward
- Solve the systemx′ 1 = x1+2x2, ......................(9.1.7) x′ 2 =2x1−2x2........................ (9.1.8)arrow_forward5- What value of b will cause the system to have an infinite number of solutions? y = 6x - b -3x + y= -3 Save and Exit Nmt Submit 2. 4.arrow_forwardFor the function f(x) = -2 sin (a – determine its amplitude and period, and then graph it for two periods. Enter the exact answers. For the number 7, either choose a from the bar at the top or type in Pi (with a capital P). Amplitude: A = Number Period: P = Using your answers for the amplitude and period, select the correct graph of the function f (x) = -2 sin (a - 4) 6 y 4 3 A 2 -6 4.arrow_forward
- What are the solution(s) to the system? (2r+5y = 14 2r+2y 5 () A (. -) B There are no solutions. ed Document6 -, Linear Progra. Linear Progra.. A*.arrow_forward1. Solve the system by graphing. 2.x+ y =-4 (x,y) = (_ ソ=ニメ+3arrow_forwardExercises 68-70 will help you prepare for the material covered in the next section. 68. Solve the system: Sx + 2y = -1 y = 1. What makes it fairly easy to find the solution? 69. Solve the system: x + y + 2z = 19 y + 2z = 13 = 5. z = What makes it fairly easy to find the solution? 70. Consider the following array of numbers: [1 2 -1 4 -3 -15]arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University