Solve Problems Using Systems in Three Variables
-The Sum of Three

Solve Problems Using Systems in Three Variables
-The sum of three numbers is 12. If the second number is subtracted from the sum of the first and third numbers, the result is 2. If the third number is subtracted from the sum of the first and second numbers, the result is 4. Find the three numbers. [Hint: let x represent the first number, y the second number, and z the third number. Use the given conditions to write and solve a system of equations.]

A) $x = 3 , y = 5 , z = 4$
B) $x = 4 , y = 5 , z = 3$
C) $x = 4 , y = 6 , z = 2$
D) $x = 1 , y = 7 , z = 4$