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9. Consider the following system of three equations: x + 2 +z = 0 2x + 3y + 5z 0 6x + 9y + 15z = X Inconsistent. D V The correct selection was A, B Dependent. A Consistent. B Independent. C Inconsistent. D 9c With z =/ for an arbitrary f, which of the following is the solution set for the system? O (-7t, - 31, t) A O (7t, 31, 1) B O (-7t, 3t, 1) C O (-71, 0, t) D14. Consider the system: Equation 1 Equation 2 x - 3y + 3z = 5 x - 2y + 4z = 2 Let z = t be arbitrary. 14a Solve Equation 1 for x with respect to y and f. V x = 5+ 3y - 3t Using your result from part a, solve Equation 2 for y' with respect to f. V y=-3-1 140 Use your results from parts a and b to solve for x with respect to t. V x= -4 - 6t 14d Hence, write down the solution to the system with respect to the arbitrary variable f:15. Consider the quadratic with equation y = ax" + bx + c that passes through the points (1, 22), (6, 7) and (5, -2). Equation 3: -2 25 a+ 5 b+c 15b V Next subtract Equation 3 from both Equation 1 and Equation 2 to form two new equations that involve only a and b: Equation 1: atb+c 22 subtract Equation 3: 25a + 5b + c = -2 to give Equation 4: 24 -24 a+ (-4) b and Equation 2: 36a + 6b + c = 7 subtract Equation 3: 25a + 5b + c = -2 to give Equation 5: 9 11 a + 1 b 15c Next rearrange Equation 5 to make b the subject: Enter your next step here