Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { c } 7 x - 5 y = - 21 \\- 4 x + 3 y = 12\end{array}$

question 10

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the
solution with y arbitrary.
$\begin{array} { c } 7 x - 5 y = - 21 \\- 4 x + 3 y = 12\end{array}$

• A) \(\{ ( - 3,1 ) \}\)
• B) \(\varnothing\)
• C) \(\{ ( - 3,0 ) \}\)
• D) \(\{ ( - 4,1 ) \}\)

---

Definitions:

Sample

A subset of a population used in statistical analysis to estimate the characteristics of the whole population.

Mean

The average value of a set of numbers, calculated by dividing the sum of all the numbers by the count of the numbers.

Standard Error

The usual measure of spread for the distribution that arises from sampling, typically concerning the mean.

Confidence Interval

A range of values that is used to estimate the true value of a parameter with a certain degree of confidence.