In Exercises 15–24, solve the systems of equations by elimination, if a solution exists.
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EBK COLLEGE ALG.IN CONTEXT W/APPL.F/MAN
- Exercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2arrow_forwardIn Exercises 23–25, solve each equation. If the solution set is Ø or (-0, ), classify the equation as an inconsistent equation or an identity. 23. 3(2x – 4) = 9 – 3(x + 1) 2x 24. x - 4 x + 1 4 2 4 25. 3(x – 4) + x = 2(6 + 2x)arrow_forwardIn Exercises 15–16, solve each system by eliminating variables using the addition method. 15. [3x + 12y = 25 |2r - 6y = 12 x + 3y -x + 2y + 3z 2х - 5у — г 16. 5 13 -8arrow_forward
- In Exercises 31–32, solve each formula for the specified variable. 1 31. V = - lwh for h 3 32. Ax + By = C for yarrow_forwardIn Exercises 43–54, solve each absolute value equation or indicate the equation has no solution. 43. |x – 2| = 7 45. |2x – 1| = 5 47. 2|3x – 2| = 14 44. |x + 1| = 5 46. |2r – 3| = 11 48. 3|2x – 1| = 21 %3D %3D 5 24 - + 6 = 18 50. 4 1 x + 7 = 10 51. |x + 1| + 5 = 3 53. |2x – 1| + 3 = 3 52. |x + 1| + 6 = 2 54. |3x – 2| + 4 = 4arrow_forwardIn Exercises 25–28, use graphs to find approximate solutions. 25. 2x = 5 26. ex = 4 27. 3x - 0.5 = 0 28. 3 - 2-x = 0arrow_forward
- 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_forwardExercises 7–12: Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 9. 2Va + 2 = 1arrow_forwardIn Exercises 49–55, solve each rational equation. If an equation has no solution, so state. 3 1 + 3 49. 3 50. Зх + 4 2x - 8 1 3 6. 51. x + 5 x² 25 x + 5 52. x + 1 4x + 1 x + 2 x2 + 3x + 2 2 53. 3 - 3x .2 2 7 54. 4 x + 2 2x + 7 55. x + 5 8. x + 18 x - 4 x + x - 20arrow_forward
- Exercises 99-108: Solve the given equation for the specified variable. 99. A = LW for W 100. E = IR + 2 for R 101. P = 2L + 2Ww for L 102. V = 2nrh + ar for h 103. S = 2LW + 2WH + 2LH for H 104. A = bh for h 105. 3x + 2y = 8 for y 106. 5x – 4y = 20 for y 107. y = 3(x – 2) + x for x 108. y = 4 - (8 - 2x) for xarrow_forwardExercises 67-74: Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. 67. 2x – 4 = 0 68. -1 – 69. 2x = -(3 – x) 70. 3x = -(x – 4) 71. –2(3 – 2x) = 4x – (1 – x) 72. x - 3(x – 4) =-(-3 – x) 73. 3 74. (x – V2) = 1.07.x – 6arrow_forwardsolve th e given system 2x + y = -1 , 5x + 3y = 2arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt