In Exercises 23–32, find the solutions, if any exist, to the systems.
26.
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- Write a uniform motion problem similar to Example 4.15 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.arrow_forwardSolve the systemx′ 1 = x1+2x2, ......................(9.1.7) x′ 2 =2x1−2x2........................ (9.1.8)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_forward
- 5- 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_forwardSolve the system. 74) x+ ỹ+ z= -2 x- y + 2z = 2 4x + y + z= -11 A) {(-3, -1,2)} 74) B) {(2, -1, -3)} C) {(2, -3, –1)} D) Ø 75) 2x + 4y + z= 6 5x - 3y - z=-30 5x + ;y + 5z = -26 A) {(-2, 4, -4)} 75) B) {(-4, 4, -2)) C) {(-4, -2, 4)} D) Øarrow_forwardIn Exercises 3–6, solve each system by graphing. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 3. x + y = 5 3x - y = 3 4. [3x – 2y = 6 16x – 4y = 12 3 y 6. [y = -x + 4 |3x + 3y = -6 5. 5h 2х — у %3D — 4arrow_forward
- In Exercises 59–64, solve and check each linear equation. 59. 2x – 5 = 7 60. 5x + 20 = 3x 61. 7(x – 4) = x + 2 62. 1 - 2(6 – x) = 3x + 2 63. 2(x – 4) + 3(x + 5) = 2x – 2 64. 2x 4(5x + 1) = 3x + 17arrow_forwardFor 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_forwardFor Exercises 15–22, solve the system by using the addition method. (See Examples 3-4) 15. 2x + 3y = 11 16. 3x + y² = 21 17. x - xy = 20 18. 4xy + 3y² = -9 2 + 4y = 8 4x - 2y = -2 -2x2 + 3xy = -44 2xy + y = -5 21. x = 1- y 9x - 4y? = 36 19. 5x - 2y2 = 1 20. 6x + 5y = 38 7x - 3y = 9 22. 4x = 4 - y? 16y = 144 + 9x? 2x - 3y = -4arrow_forward
- Exercises 43–52: Complete the following. (a) Solve the equation symbolically. (b) Classify the equation as a contradiction, an identity, or a conditional equation. 43. 5x - 1 = 5x + 4 44. 7- 9: = 2(3 – 42) – z 45. 3(x - 1) = 5 46. 22 = -2(2x + 1.4) 47. 0.5(x – 2) + 5 = 0.5x + 4 48. 눈x-2(x-1)3-x + 2 2x + 1 2x 49. 50. x – 1.5 2- 3r - 1.5 51. -6 52. 0.5 (3x - 1) + 0.5x = 2x – 0.5arrow_forward24. Solve the system of equations.* y=-2x² 3x2 +y = 52 *More than one answer may be correct; check all that apply. O (4, – 8) 13 (2i, - 8) 13 ン V13 2. 13) O -21, 4) O (-2i, - 8) (-V13, – 8) □ (學,-号 ) V13 (2i, )arrow_forwardFind the set of solutions for the linear system 5x3 = 8.13 Use s1, s2, etc. for the free variables if necessary. -) (x1,x2, x3) = -2x1 4x2 4x2 -14 10arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University