Solve the System by the Method of Substitution $\left\{ \begin{aligned}x - y & = - 8 \\x ^ { 2 } - y & = - 21\end{aligned} \right.$

question 79

Multiple Choice

Solve the system by the method of substitution. $\left\{ \begin{aligned}x - y & = - 8 \\x ^ { 2 } - y & = - 21\end{aligned} \right.$

• A) \(\left( \frac { 25 } { 3 } , - \frac { 38 } { 3 } \right)\)
• B) \(\left( - \frac { 25 } { 3 } , - \frac { 38 } { 3 } \right)\)
• C) \(\left( - \frac { 25 } { 3 } , \frac { 38 } { 3 } \right)\)
• D)No solution
• E) \(\left( \frac { 25 } { 3 } , \frac { 38 } { 3 } \right)\)

---

Definitions:

Major Organic Product

The primary product of a chemical reaction involving organic compounds, typically the one produced in the greatest yield.

Stepwise Mechanism

A reaction mechanism that occurs in multiple discrete stages, with each step having its own transition state and intermediates.

Approximate pKa

An estimate of the pKa value, indicative of the acid dissociation constant of a molecule, reflecting its acidity strength.

Acetone

A volatile, flammable, and colorless liquid commonly used as a solvent and in the production of chemicals.