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9. Consider the following system of three equations: x + 2y +z 0 2x + 3y + 5z = 0 many 0 olutions. A No solutions. 6x + 9y + 15z A unique solution. C 9b The system is: Dependent. A Consistent. B Independent. C Inconsistent. D14. Consider the system: Equation 1 Equation 2 x3y+32=5 x2y+4z=2 Let z = t be arbitrary. Solve Equation 1 for x with respect to y and t. o x=5+3y3t Using your result from part a, solve Equation 2 for y with respect to r. ' Enter your next step here 15. Consider the quadratic with equation y = ax2 + bx + c that passes through the points (1, 22) , (6, 7) and (5, 2). @ Next subtract Equation 3 from both Equation 1 and Equation 2 to form two new equations that involve only a and 1): Equation 1: a + b -- c = 22 subtract Equation 3: 2511 + 5!) W e = *2 to give Equation 4: = 83+ b and Equation 2: 350 + 5!) + c = 7 subtract Equation 3: 250 + 55 + L' : 2 to give Equation 5: = a + b