Use the Substitution Method or the Elimination Method to Solve $( x , - 3 x + 6 )$

question 54

Multiple Choice

Use the substitution method or the elimination method to solve the system. If the system has infinitely many solutions, express the ordered pair in terms of x or y.
-3x + y = 6 -6x - 2y = -12

• A) \(( x , - 3 x + 6 )\) or \(\left( - \frac { 1 } { 3 } y + 2 , y \right)\)
• B) \(( x , 3 x + 6 )\) or \(\left( \frac { 1 } { 3 } y - 2 , y \right)\)
• C) no solution
• D) \(\left( - \frac { 1 } { 3 } x + 2 , x \right)\) or \(( y , - 3 y + 6 )\)

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Definitions:

Incentives

Rewards or benefits offered to encourage specific actions or behaviors, particularly in contexts of employment or economics.

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The additional costs incurred when increasing the level of an activity or output by one unit.

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The maximum output that a manufacturing facility can produce under normal working conditions.

Opportunity Costs

The value of the best alternative forgone as a result of making a decision.