Solve the systems in Exercises 15–22.
17.
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COLLEGE ALGEBRA IN CONTEXT W/ INT. REVIE
- 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_forwardIn Exercises 49–54, solve for y in terms of t or x, as appropriate.arrow_forwardExercises 143–145 will help you prepare for the material covered in the next section. y2 - yı 143. If (x1, yı) = (-3, 1) and (x2, y2) = (-2, 4), find X2 - X1 144. Find the ordered pairs (- 0) and (0, 4х — Зу - 6 % 0. satisfying 145. Solve for y: 3x + 2y – 4 = 0.arrow_forward
- Exercises 99–108: Solve the given equation for the specified variable. 101. P = 2L + 2W for Larrow_forwardIn Exercises 9–12, find all real solutions to the equations.arrow_forwardExercises 7–12: Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 7. 3x – 1.5 = 7arrow_forward
- Exercises 86–88 will help you prepare for the material covered in the next section. If –9 is substituted for x in the equation 4x – 3 = 5x + 6, is the resulting statement true or false? Simplify: 13 – 3(x + 2). Зх + Simplify: 10(**1).arrow_forwardIn Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1 1 x + 3 x - 1 ||arrow_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_forward
- Part 4. 1 Please show complete solution.arrow_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_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_forward
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