Solve Each System by Using Either the Substitution or the Elimination-By-Addition

question 224

Multiple Choice

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } - 3 ( x + 3 ) + 4 ( y - 3 ) = - 37 \\4 ( x + 6 ) - 5 ( y + 2 ) = 33\end{array} \right)$$

• A) ( \(-\) 4, \(-\) 7)
• B) ( \(-\) 4, 7)
• C) ( 4, \(-\) 7)
• D) no solutions
• E) infinitely many solutions

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Definitions:

Charles Hartshorne

An American philosopher known for his work in process philosophy and for developing the concept of "God" as a continually evolving being.

God

The supreme being, creator, and principal object of faith in monotheistic religions.

True Triangle

A geometric concept referring to a three-sided polygon that meets the exact mathematical properties and definitions of a triangle, including internal angles summing to 180 degrees.

Plato's Theory

Refers to the philosophical ideas of Plato, including his Theory of Forms which posits that the physical world is only a shadow of the true reality, the eternal world of forms.