Solve each system in Exercises 5–22. It there no solution or if there are infinitely many solutions and a system’s equations ate dependent, so state.
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- 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_forwardParvin Bhaiarrow_forward5arrow_forward
- Exercise 1.4.19 Solve the system of equations 9x-2y+4z=-17, 13x-3y+6z=-25, and -2x-z=3.arrow_forwardSolve the system 21 X2 #3 LC4 = +8 +t 521 -622 +3x3 +324 = 2 -21 +22 +2x3 +324 = 2 4x15x2 +5x3 +6x4 = 4 -3x1 +3x2 +6x3 +9x4 = 6arrow_forwardSOLVE STEP BY STEP BY HAND (LEGIBLE) Solve the following systems of equations: a) X 2 **()* -(i 4). = b) x = ( 1 -3 1 1 -3 X. :). X.arrow_forward
- A scientist solves a nonhomogeneous system of ten linear equations in twelve unknowns and finds that three of the unknowns are free variables. Can the scientist be certain that, if the right sides of the equations are changed, the new nonhomogeneous system will have a solution? Discuss.arrow_forwardSolve the linear system x2+7x3+ 4. 1 + 6x2 3x3 24= 2 x2 +7x3 + 6. xi+5x2 - 10x - 2 1/3232arrow_forwardIs it possible for a system of equations composed of a linear function and a quadratic func- tion to have 2 solutions? A It is possible for a system of equations composed of a linear function and a quadratic function to have 2 solutions. B It is not possible for a system of equations composed of a linear function and a qua- dratic function to have 2 solutions.arrow_forward
- Solve each linear system by the elimination method. State the solutions on the line. Must show work! [y--r*+2x +7 y =-2x +2 ソ=ーx? → Solution(s): y = x² + 2x - 3 y3 2x+1 → Solution(s): DEC 1. 28 étv Sl / A 280arrow_forward5. pls helparrow_forwardWhat would you have to know about the solution set of a homogeneous system of 18 linear equations in 20 variables in order to know that every associated nonhomogeneous equation has a solution? Discuss.arrow_forward
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