Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } 3 x ^ { 2 } + 4 y ^ { 2 } = 59 \\2 x ^ { 2 } + 5 y ^ { 2 } = 72\end{array} \right.$$

question 14

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } 3 x ^ { 2 } + 4 y ^ { 2 } = 59 \\2 x ^ { 2 } + 5 y ^ { 2 } = 72\end{array} \right.$$

• A)( \(\sqrt { 13 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 13 }\) )
• B) \(\left( 0 , \frac { \sqrt { 257 } } { 5 } \right) , \left( 0 , - \frac { \sqrt { 257 } } { 5 } \right)\)
• C) \(( 3,2 ) , ( 3 , - 2 ) , ( - 3,2 ) , ( - 3 , - 2 )\)
• D)(1, \(\sqrt { 14 }\) ),(1, \(\sqrt { 14 }\) ),( 1, \(\sqrt { 14 }\) ),( 1, \(\sqrt { 14 }\) )
• E)no solution exists

---

Definitions:

Cytoskeleton

A complex network of interlinking filaments and tubules that extends throughout the cytoplasm, providing structural support and facilitating cellular movement.

Membrane-bound

Membrane-bound refers to any structure encased within a lipid bilayer membrane, typically used to describe organelles within eukaryotic cells.

Nucleolus

A small, dense structure within the nucleus of a cell where ribosomal RNA (rRNA) is synthesized and ribosomal subunits are assembled.

DNA Replication

The biological process of producing two identical replicas of DNA from one original DNA molecule, essential for cell division.