Solve the problem.
-The sum of three numbers is -4. If the second number is subtracted from the sum of the first and third numbers, the result is 4. If the third number is subtracted from the sum of the first and second numbers,
The result is 6. 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) $x = 5 , y = - 4 , z = - 5$
B) $x = 6 , y = - 4 , z = - 6$
C) $x = 6 , y = - 3 , z = - 7$
D) $x = 3 , y = - 2 , z = - 5$

Question

Solve the problem.
-The sum of three numbers is -4. If the second number is subtracted from the sum of the first and third numbers, the result is 4. If the third number is subtracted from the sum of the first and second numbers,
The result is 6. 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) $x = 5 , y = - 4 , z = - 5$
B) $x = 6 , y = - 4 , z = - 6$
C) $x = 6 , y = - 3 , z = - 7$
D) $x = 3 , y = - 2 , z = - 5$

Quizplus · Accepted Answer

Given the system of equations based on the problem statement:1) $x + y + z = -4$2) $(x + z) - y = 4$3) $(x + y) - z = 6$Solving this system, we find that $x = 5$, $y = -4$, and $z = -5$, which matches option A.

Solve the Problem x=5,y=−4,z=−5x = 5 , y = - 4 , z = - 5x=5,y=−4,z=−5

Solve the Problem $x = 5 , y = - 4 , z = - 5$