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

question 52

Multiple Choice

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 3 x - y = 7 \\5 x + 10 y = 1\end{array} \right)$$

• A) \(\left( \frac { 71 } { 35 } , \frac { 32 } { 35 } \right)\)
• B) \(\left( - \frac { 71 } { 35 } , \frac { 32 } { 35 } \right)\)
• C) \(\left( \frac { 71 } { 35 } , - \frac { 32 } { 35 } \right)\)
• D) no solutions
• E) infinitely many solutions

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Definitions:

Ions

Atoms or molecules that have gained or lost one or more of their electrons, resulting in a net electric charge.

Plasticity

The capacity of the brain to change and adapt in response to experience, learning, or injury.

Brain

The complex organ located in the skull of vertebrates that is the center of the nervous system, responsible for controlling thought, memory, emotion, touch, motor skills, vision, breathing, temperature, hunger, and every process that regulates our body.

Adapt

To make suitable adjustments to new conditions or environments.