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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Chapter 3 Solutions
Intermediate Algebra for College Students (7th Edition)
- Please do #6 and #20arrow_forwardWhat relation should the coefficients have so that the system has infinitely many solutions?arrow_forwardConsider (1,0,3) = U and (0,1,3) = V to be solutions of a 3x4 system. Determine if U + V is a solution and explain why. If not explain why and is there a solution?arrow_forward
- Is 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_forwardA 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_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
- Number 24arrow_forwardSolve the linear system x2+7x3+ 4. 1 + 6x2 3x3 24= 2 x2 +7x3 + 6. xi+5x2 - 10x - 2 1/3232arrow_forwardSuppose a nonhomogeneous system of six linear equations in eight unknowns has a solution, with two free variables. Is it possible to change some constants on the equations’ right sides to make the new system inconsistent? Explain.arrow_forward
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