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

question 99

Multiple Choice

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) \(x = 0 , y = 0 , z = 3\)

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Definitions:

Principle of Specialization

The Principle of Specialization is a strategy wherein individuals or entities focus on a narrow area of expertise or production to increase efficiency and quality of output.

Unity of Direction

A management principle advocating that teams with the same objective should be directed by one manager and bound by a single plan.

Self-fulfilling Prophecy

A belief or expectation that an individual or group holds about a future event that manifests because the individual or group acts in ways that support the belief or expectation.

Theory X

A management assumption that employees are inherently lazy, require close supervision and control, and are motivated primarily by financial incentives.