Find the Point at Which the Following Three Planes Intersect

question 41

Essay

Find the point at which the following three planes intersect:
x - 2y + z = 5
2x - y + z = 1
-2x + y + z = 3

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Definitions:

Units of Butter

A hypothetical unit used in economics to represent production output, often used in examples discussing opportunity costs and production possibilities.

Production Possibilities Curve

A graphical representation showing the maximum combination of goods and services that can be produced in a given period with available resources, illustrating the trade-offs and opportunity costs.

Units of Guns

A measure or quantity of firearms; colloquially, it can refer to military spending or resources in discussions of trade-offs between defense and civilian spending.

Units of Butter

A measurement used to quantify butter, typically in pounds or kilograms, often used as an example in economic theories to explain concepts like trade-offs and opportunity costs.