Solve the System of Equations Below Using Gaussian Elimination $\begin{aligned}5 x + 4 y + 3 z & = 54 \\x - 2 y + 2 z & = 36 \\x - y - z & = - 18\end{aligned}$

question 93

Multiple Choice

Solve the system of equations below using Gaussian elimination.
$\begin{aligned}5 x + 4 y + 3 z & = 54 \\x - 2 y + 2 z & = 36 \\x - y - z & = - 18\end{aligned}$

• A) \(( 1 , - 1,20 )\)
• B) \(( 1,0,19 )\)
• C) \(( 0,1,17 )\)
• D) \(( - 1,1,16 )\)
• E) \(( 0,0,18 )\)

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Definitions:

Toughness

The ability of a material to absorb energy and plastically deform without fracturing.

Toughener

A substance added to materials to increase their toughness, making them more resistant to impact and less likely to crack.

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A hard, malleable, and ductile metallic element, primarily used in alloys and as a catalyst.

Epoxy

A class of synthetic thermosetting polymers used in adhesives, coatings, and composite materials, known for strong adhesive and mechanical properties.