In Exercises 59–82, solve each system by the method of your choice. Identify inconsistent system and systems with dependent equations, using set notation to express their solution sets.
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Chapter 3 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
- In Exercises 7–10, determine the values of the parameters for which the system has a unique solution, and describe the solution. 7. 6sx1 + 4x2 5 9x + 2sx₂ = -2 =arrow_forwardWhat is a system of linear equations in the variables x, y, and z?arrow_forwardIn Exercises 1–4, determine if the system has a nontrivial solution. Try to use as few row operations as possible.arrow_forward
- 1) Describe the three possible solutions to a system of equations.arrow_forward10) Describe a consistent, independent system of linear equations and give examples to justify your response. 1000 character(s) leftarrow_forwardGive an example of a system of n linear equations in n unknowns withinfinitely many solutions.arrow_forward
- Solve the systems in Exercises 11-14 11. X₂ + 4x3 = -5 x₁ + 3x₂ + 5x3 = -2 3x₁ + 7x₂ + 7x3 = 6arrow_forwardSolve the system. 21 X2 I3 IA || -2060x1 16480x2 -362x1 -826x1 2896x2 6608x2 +8 15812x37500x4 2750x3 +1306x4 6638x3 +3114x4 B = = = 128848 22456 53496 0arrow_forwardThree 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_forward
- Please do #6 and #20arrow_forwardBy setting up and solving an appropriate system of linear equations, determine whether there is a parabola that passes through the points (-1,2), (0, –1), and (1,3). 2.arrow_forwardDescribe the conditions in a problem that enable it to be solved using a system of linear equations.arrow_forward
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