Solve the System of Equations $7 x+3 y+5 z=-20$ $3 x+y+2 z=2$

question 96

Multiple Choice

Solve the system of equations. Let z be the parameter.
- $7 x+3 y+5 z=-20$
$3 x+y+2 z=2$

• A) \( \left(13-\frac{1}{2} z, 2+2 z, z\right) \)
• B) \( (-26+z, 74+z, z) \)
• C) \( \left(13-\frac{1}{2} z,-37-\frac{1}{2} z, z\right) \)
• D) \( \left(13-\frac{1}{2} z, 2-2 z, z\right) \)

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Definitions:

Average Total Cost

The per-unit cost of production, calculated by dividing the total cost of production by the quantity of output produced.

Economic Profit

The difference between the total revenue generated by a business and the total costs, including both explicit and implicit costs.

Short-run Marginal Cost Curve

A curve that shows the change in total cost associated with producing one more unit of output in the short term.

Diminishing Marginal Returns

A principle that states as additional units of a variable input are added to fixed inputs, the additional output produced from each new unit eventually decreases.