Determine Whether the System Is Consistent A) $\mathrm { Yes }$

question 42

Multiple Choice

Determine whether the system is consistent.
- $$\begin{array} { l } x _ { 1 } + x _ { 2 } + x _ { 3 } = 7 \\x _ { 1 } - x _ { 2 } + 2 x _ { 3 } = 7 \\5 x _ { 1 } + x _ { 2 } + x _ { 3 } = 11\end{array}$$

• A) \(\mathrm { Yes }\)
• B) \(\mathrm { No }\)

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Definitions:

Plastic

A wide range of synthetic or semi-synthetic materials that are used in the production of industrial products, packaging, and consumer items.

Wood

A hard, fibrous material made from trees or shrubs, often used for construction, furniture, and fuel among other applications.

Production Function

A mathematical relationship expressing the maximum quantity of output that can be produced from a given set of inputs in a production process.

Plastic

Synthetic materials made from polymers that can be molded into shape while soft and then solidified, widely used in a vast range of products.