Choose the One Alternative That Best Completes the Statement or Answers

question 128

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Use Cramer's rule to solve the linear system.
- $$\left\{ \begin{array} { l } 4 x - 7 y = 5 \\2 x + 5 y = - 3\end{array} \right.$$

• A) \(x = - \frac { 2 } { 17 } , y = \frac { 11 } { 17 }\)
• B) \(x = \frac { 23 } { 3 } , y = - \frac { 11 } { 3 }\)
• C) \(x = \frac { 2 } { 17 } , y = - \frac { 11 } { 17 }\)
• D) \(x = \frac { 2 } { 3 } , y = \frac { 1 } { 3 }\)

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Definitions:

Proton NMR Spectrum

A technique in nuclear magnetic resonance (NMR) that measures the environment of hydrogen atoms in a molecule to elucidate its structure.

Triplet

In chemistry, a term often used to describe a state of a molecule or an atom in which its electrons have a specific spin configuration leading to three closely related energy levels or quantum states.

Cyclohexanone

An organic compound with the formula (CH2)5CO, characterized by a six-carbon ring with a ketone functional group.

Benzophenone

An organic compound with the formula (C6H5)2CO, commonly used in organic chemistry as a photoinitiator.