In Exercises 25–34, solve the systems of equations by any convenient method, if a solution exists.
25.
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College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- In 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_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_forwardExercises 149–151 will help you prepare for the material covered in the next section. 149. Multiply: (Vx + 4 + 1)2. 150. Solve: 4x2 16x + 16 = 4(x + 4). 151. Solve: 26 – 11x 16 – 8x + x?.arrow_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_forwardSolve the equations * 2x – y + 3z = -3, 3.x + 3y – z = 10, -x – y + z = -4 O x = 2, y = 1, z = -4 Ox = 4, y = 2, z = -4 O x = 1, y = 2, z = -4 O x = 1, y = 2, z = -1arrow_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_forward
- Solve the system of linear equations. 8) x + y - 2 x - y = 14 A) Ø B) ((8. -6)} C) {(-8, -5)} D) {(7. -5))arrow_forwardCompute the discriminant of each equation in Exercises 83-90. What does the discriminant indicate about the number and type of solutions? 83. x - 4x - 5 = 0 85. 2x - 11x + 3 = 0 87. x = 2x - 1 89. x? - 3x - 7 = 0 84. 4x? – 2x + 3 = 0 86. 2x? + 11x - 6 = 0 = 2x - 1 90. 3x + 4x- 2 = 0 88. 3x2arrow_forwardIn Exercises 31–32, solve each formula for the specified variable. 1 31. V = - lwh for h 3 32. Ax + By = C for yarrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University