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Consider the following system of linear equations 2y 2z2w 2 7y 3z 4w q 3x x 4y p z pw 8 where p and q

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Consider the following system of linear equations 2y 2z2w 2 7y 3z 4w q 3x x 4y p z pw 8 where p and q are real numbers Using Gaussian elimination determine all possible values of p and q such that the system a no solution b infinitely many solutions with one free variable c infinitely many solutions with two free variables Then solve the system in part c

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