Solve the System by the Addition Method $$\begin{array} { l } - 12 x - 15 y = - 27 \\- 0.4 x = 6.8 + 0.5 y\end{array}$$

question 56

Multiple Choice

Solve the system by the addition method. $$\begin{array} { l } - 12 x - 15 y = - 27 \\- 0.4 x = 6.8 + 0.5 y\end{array}$$

• A) \(( - 24,21 )\)
• B) \(( - 9,9 )\)
• C) Infinitely many solutions; \(\left\{ ( x , y ) \mid y = - \frac { 4 } { 5 } x + \frac { 9 } { 5 } \right\}\); dependent system
• D) No solution; { } ; inconsistent system

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Definitions:

Null Hypothesis

A statement suggesting that no statistical significance exists in a set of observations.

Alternative Hypothesis

A statement that contradicts the null hypothesis and indicates that there is an effect or a difference.

Sets Of Variables

Groups of variables or elements that are related and can be manipulated, measured, or controlled in research.

Null Hypothesis

A hypothesis in statistical analysis that proposes there is no significant difference or effect, often tested in order to be rejected in favor of an alternative hypothesis.