Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { l } 5 x - 7 y = 30 \\2 x - 5 y = 12\end{array}$$

question 476

Multiple Choice

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { l } 5 x - 7 y = 30 \\2 x - 5 y = 12\end{array}$$

• A) \(\{ ( 6,1 ) \}\)
• B) \(\{ ( 6,0 ) \}\)
• C) \(\{ ( 5,1 ) \}\)
• D) Cramer's rule does not apply since \(\mathrm { D } = 0 ; \varnothing\)

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Definitions:

CCC Bond Angle

The internal angle formed between three consecutively bonded carbon atoms in a molecule, often approximated to 109.5° in a tetrahedral arrangement.

CCC Bond Angle

The angle between three carbon atoms connected in sequence, significant in determining the shape and properties of organic molecules.

Hybridization

A concept in molecular chemistry that describes the mixing of atomic orbitals to form new hybrid orbitals, which can house electrons for bonding or reactivity.

Negatively Charged Carbon

Refers to a carbon atom that has gained an extra electron, resulting in a negative charge; often involved in organic reactions.