Solve the System of Equations $$\begin{aligned}x + y + z & = 8 \\x - y + 5 z & = 24 \\5 x + 5 y + 5 z & = 12\end{aligned}$$

question 274

Multiple Choice

Solve the system of equations.
- $$\begin{aligned}x + y + z & = 8 \\x - y + 5 z & = 24 \\5 x + 5 y + 5 z & = 12\end{aligned}$$

• A) \(\{ ( 1,2,5 ) \}\)
• B) \(\{ ( 5,2,1 ) \}\)
• C) \(\{ ( 5,1,2 ) \}\)
• D) \(\varnothing\)

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Definitions:

Goodness-of-fit Test

A statistical test used to determine if sample data fits a distribution from a population with a normal distribution.

Contingency Table

A type of table used in statistics to summarize the relationship between several categorical variables, showing the frequencies at which certain combinations of variables occur.

Two-tail Test

A statistical test that determines if there are any significant differences between two population means or parameters, checking for deviations in two opposite directions from the null hypothesis.

Population Proportion

A statistic that represents the fraction of the population that has a particular characteristic or attribute.