Solve the Problem. -Three Solutions to the Equation Ax + by + Cz

Multiple Choice

Solve the problem.
-Three solutions to the equation Ax + By + Cz = 14 are (5, -4, 1) , (1, 3, 0) , and (3, 1, -4) . Determine the values of A, B, and C and write the equation using the numerical values found.

A) A = 3, B = 5, C = 1; 3x + 5y + z = 14
B) A = 1, B = 3, C = 5; x + 3y + 5z = 14
C) A = 5, B = 3, C = 1; 5x + 3y + z = 14
D) A = 5, B = 1, C = 3; 5x + y + 3z = 14