Solve the System $$\begin{array} { l } 2 x + 8 y = 7 \\4 x + 16 y = 5\end{array}$$

question 130

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 2 x + 8 y = 7 \\4 x + 16 y = 5\end{array}$$

• A) \(\left\{ \left( x , \frac { 1 } { 2 } - \frac { 1 } { 4 } x \right) \right\}\)
• B) \(\left\{ \left( x , \frac { 7 } { 8 } - \frac { 1 } { 4 } x \right) \right\}\)
• C) \(\{ ( 0,0 ) \}\)
• D) \(\varnothing\)

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Definitions:

Scrap

Material that is discarded or left over from the manufacturing process, often repurposed or recycled, but sometimes considered waste.

Variable Production Cost

Costs that vary directly with the level of production output, such as materials and labor required for manufacturing.

Fixed Production Cost

Costs associated with the production process that remain unchanged, regardless of the quantity of output.

Variable Selling Expense

Costs that vary directly with the volume of sales, such as commissions and shipping charges.