Use the Elimination-By-Addition Method to Solve the System $$\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)$$

question 4

Multiple Choice

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)$$

• A) \(\left( - \frac { 1 } { 23 } , - \frac { 19 } { 23 } \right)\)
• B) \(\left( \frac { 1 } { 23 } , - \frac { 19 } { 23 } \right)\)
• C) \(\left( \frac { 1 } { 23 } , \frac { 19 } { 23 } \right)\)
• D) infinitely many solutions
• E) no solutions

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Definitions:

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, often denoted by alpha.

Type I Error

The error that occurs when a true null hypothesis is incorrectly rejected, often denoted as the false positive rate.

Type II Error

A Type II error occurs when a statistical test fails to reject a false null hypothesis, indicating a false negative result.

Sample Size

The number of observations or data points collected in a statistical sample from a population.