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1. A system of equations is given: 4x+2y+5pz = 6 4x+6y+(5p-3) z = 6-q 2x-y+2pz = 2 (a) Use Gaussian Elimination to rewrite the

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1. A system of equations is given: 4x+2y+5pz = 6 4x+6y+(5p-3) z = 6-q 2x-y+2pz = 2 (a) Use Gaussian Elimination to rewrite the system in row echelon form. (b) Hence, state the conditions for p and q where there would be infinitely many solutions. c) Hence, state the conditions for p and q where there would be no solutions.

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