Solve Problems Using Systems in Three Variables
-The Following Is $- 7$

Solve Problems Using Systems in Three Variables
-The following is known about three numbers: If the second number is subtracted from the sum of the first number and 3 times the third number, the result is $- 7$ . The third number plus 2 times the first number is $- 2$ . The first number plus 5 times the second number plus the third number is 3 . 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) $x = 0 , y = 1 , z = - 2$
B) $x = 1 , y = 2 , z = - 2$
C) $x = - 1 , y = 1 , z = 0$
D) $x = 0 , y = 0 , z = 3$