Exam 9: Prelude to Calculus

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Use Gaussian elimination to find all solutions to the given system of equations. Work directly with equations rather than matrices. Use Gaussian elimination to find all solutions to the given system of equations. Work directly with equations rather than matrices.

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Find a number b < 61 such that the system of linear equations has infinitely many solutions. Find a number b < 61 such that the system of linear equations has infinitely many solutions.

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The solution of the following system of equations is given by x = 1, y = -1, z = 4. The solution of the following system of equations is given by x = 1, y = -1, z = 4.

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Find all solutions to the given system of equations. Find all solutions to the given system of equations.

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Find all solutions to the given system of equations. Find all solutions to the given system of equations.

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Find a number b such that the system of linear equations has no solutions. Give the exact answer. Find a number b such that the system of linear equations has no solutions. Give the exact answer.

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Use Gaussian elimination to find all solutions to the given system of equations. Work with matrices at least until the back substitution stage is reached. Use Gaussian elimination to find all solutions to the given system of equations. Work with matrices at least until the back substitution stage is reached.

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Use Gaussian elimination to find all solutions to the given system of equations. Work with matrices at least until the back substitution stage is reached. Give the exact answer. Use Gaussian elimination to find all solutions to the given system of equations. Work with matrices at least until the back substitution stage is reached. Give the exact answer.

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Interpret the given matrix as a system of linear equations. Use x for the first variable, y for the second variable, and z for the third variable. [4682677] \left[\begin{array}{ccc}4 & -6 & 8 \\ -2 & \frac{6}{7} & 7\end{array}\right]

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Use Gaussian elimination to find all solutions to the given system of equations. Work directly with equations rather than matrices. Use Gaussian elimination to find all solutions to the given system of equations. Work directly with equations rather than matrices.

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Represent the given system of linear equations as a matrix. Use alphabetical order for the variables. 6x-3y =-7 6x-3y =21

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Use Gaussian elimination to find all solutions to the given system of equations. Work directly with equations rather than matrices. Use Gaussian elimination to find all solutions to the given system of equations. Work directly with equations rather than matrices.

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