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

question 138

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

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Definitions:

Economic Exchange

The process of trading goods, services, or both, involving the transfer of money or other valuables between parties.

Reciprocity Norm

A social norm that suggests individuals should repay, in kind, what another has provided or done for them.

Role Transference

A psychological phenomenon where an individual assumes the attitudes, behaviors, or roles of another group or person, often seen in marketing when consumers identify with brand personalities.

Consubstantiation

The concept of acknowledging a shared essence among entities while still maintaining their distinct identities.