Solve the System by the Addition Method $$\left\{ \begin{array} { l } 3 x + \frac { 1 } { 4 } y = - 7 \\5 x + \frac { 1 } { 3 } y = - \frac { 34 } { 3 }\end{array} \right.$$

question 65

Multiple Choice

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
- $$\left\{ \begin{array} { l } 3 x + \frac { 1 } { 4 } y = - 7 \\5 x + \frac { 1 } { 3 } y = - \frac { 34 } { 3 }\end{array} \right.$$

• A) \(\{ ( - 1 , - 5 ) \}\)
• B) no solution; \(\varnothing\)
• C) \(\{ ( 2 , - 5 ) \}\)
• D) \(\{ ( - 2 , - 4 ) \}\)

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Definitions:

Natural Selection

A process by which organisms better adapted to their environment tend to survive and produce more offspring, driving the evolution of species.

Hardy-Weinberg Equilibrium

A principle stating that the genetic variation in a population will remain constant from one generation to the next in the absence of disturbing factors.

Allele Frequencies

The relative frequency of alleles (variations of a gene) within a population.

Dominant Gene

A dominant gene is an allele that expresses its phenotype even in the presence of another allele, effectively masking the effects of a recessive allele.