Solve the System $\left(\begin{array}{llll}x&-&5 y&+&2 z & = & 24 \\2 x&+&2 y&+&4 z & = & 12 \\2 x&-&2 y&-&3 z & = & -4\end{array}\right)$

question 144

Multiple Choice

Solve the system. $\left(\begin{array}{llll}x&-&5 y&+&2 z & = & 24 \\2 x&+&2 y&+&4 z & = & 12 \\2 x&-&2 y&-&3 z & = & -4\end{array}\right)$

• A) x = 1, y = -6, z = 3
• B) x = 0, y = -4, z = 1
• C) x = 0, y = -7, z = 1
• D) x = 1, y = -3, z = 4

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Definitions:

Indifference Map

A graphical representation of different combinations of goods between which a consumer is indifferent, showing levels of utility.

Budget Line

A budget line represents the combinations of two goods that a consumer can purchase with a specific budget, given the prices of those goods.

Utility Maximization

The process by which individuals choose consumption bundles that maximize their overall satisfaction or utility, subject to their budget constraints.

Indifference Map

A graphical representation that shows different bundles of goods between which a consumer is indifferent, reflecting their preferences and consumption choices.