In Exercises 1–4 determine if the given ordered triple is a solution of the system.
(2, –1, 3)
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
- Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?arrow_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_forwardCan someone help me with what does "express k in terms of the parameters of the system" and how to do it?arrow_forward
- In 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_forward3. Solve the linear system of equations x1 – *2 + 2x3 - -2, -201 +x2 – 03 – 2, 4x1 – x2 + 203 – 1, using 3 digit rounding arithmetic and Gaussian elimination with partial pivoting.arrow_forwardH.W:- Solve The linear SysTem O 1.7X-3.2y = 81 014x+112y = -2 2X+X2- X3=D9 8 X2+ 6X3=-6 -2 X1+4x2-6X3= Y0 %3D ®2x+3y+2-1/W = | 5x -2y+5z-4w=S X-Y+32-3w=3 3ペナ9yーチスナ2w=ー7arrow_forward
- Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem |-------2-------| ---1------>| |----------> |-------3-------| The experiment consists of determining the condition of each component [S(success) for a functioning component and F(failure) for a nonfunctioning component]. a. Which outcomes are contained in the event A that exactly two out of the three components function? b. Which outcomes are contained in the event B that at least two of the components function? c. Which outcomes are contained in the event C that the system functions? d. List outcomes in C', A U C, B U C.arrow_forwardIn Exercises 1–4, determine if the system has a nontrivial solution. Try to use as few row operations as possible.arrow_forward7. Find the general solution of the system: 2 -1 3, () etarrow_forward
- 1–18, 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_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_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. (3x + y=0) (x - 2y=-7) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 509). Cengage Learning. Kindle Edition.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning