In Exercises 7–10, determine the values of the parameter s for which the system has a unique solution, and describe the solution.
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- In 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_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_forwardSolve each system in Exercises 1–4 by using elementary rowoperations on the equations or on the augmented matrix. Followthe systematic elimination procedure described in this section.. x1 + 5x2 =7 - 2x1- 7x2 = -5arrow_forward
- Can someone help me with what does "express k in terms of the parameters of the system" and how to do it?arrow_forwardsolve th e given system 2x + y = -1 , 5x + 3y = 2arrow_forward1–16, use the graphing approach to determine whether the system is consistent, the system is inconsistent, or the equations are dependent. If the system is consistent, find the solution set from the graph and check it. (2x - y=9) (4x - 2y=11) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 509). Cengage Learning. Kindle Edition.arrow_forward
- Solve the minimization problem min 2x + 3.x3 + 4.x + 2x1x2 – 2x1x3 – 8x1 – 4x2 – 2x3 s.t. X1, x2, x3 20.arrow_forwardIn Exercises 1–4, determine if the system has a nontrivial solution. Try to use as few row operations as possible.arrow_forwardIn Exercises 7-10, determine the values of the parameter s for which the system has a unique solution, and describe the solution. 7. 68x₁ + 4x₂ = 5 9x1 + 28x₂=-2 8. 38x₁ + 5x₂ = 3 12x1 + 58x₂ = 2arrow_forward
- 1–16, use the graphing approach to determine whether the system is consistent, the system is inconsistent, or the equations are dependent. If the system is consistent, find the solution set from the graph and check it. (3x + y=0) (x - 2y=-7) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 509). Cengage Learning. Kindle Edition.arrow_forwardsolve th e given system x- y=1 ,2x+y =2arrow_forward1–18, use the elimination-by-addition method to solve each system. (x - 2y=-12) (2x + 9y=2) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 521). Cengage Learning. Kindle Edition.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage