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

question 47

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) \(\left( \frac { 25 } { 3 } , \frac { 38 } { 3 } \right)\)

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Definitions:

Fixation

In psychoanalytic theory, leaving a disproportionate share of one’s libido behind at an earlier stage of development.

Libido

A term in psychoanalytic theory for the energy of the sexual drive as a component of the life instinct.

Genital Stage

In psychoanalytic theory, the final stage of psychosexual development, in which the physical focus of the libido is on the genitals, with an emphasis on heterosexual relationships. The stage begins at about puberty, but is only fully attained when and if the individual achieves psychological maturity.

Psychic Conflict

A struggle within the mind between opposing thoughts, desires, or impulses, often central to psychoanalytic theories.