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

Multiple Choice

Solve the problem.
-Three solutions to the equation Ax + By + Cz = 3 are (1, -4, 2) , (1, 8, -4) , and (1, 6, -3) . Determine the values of A, B, and C and write the equation using the numerical values found.

A) A = 3, B = -4, C = -2; 3x - 4y - 2z = 3
B) A = -2, B = 3, C = -4; -2x + 3y - 4z = 3
C) A = 3, B = -2, C = -4; 3x - 2y - 4z = 3
D) A = -4, B = -2, C = 3; -4x - 2y + 3z = 3