Solve the System by the Addition Method $$\left\{ \begin{array} { l } 8 x - 3 y = 1 \\8 x - 3 y = 5\end{array} \right.$$

question 21

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.
- $$\left\{ \begin{array} { l } 8 x - 3 y = 1 \\8 x - 3 y = 5\end{array} \right.$$

• A) no solution; \(\varnothing\)
• B) \(\left\{ \left( \frac { 1 } { 3 } , \frac { 5 } { 8 } \right) \right\}\)
• C) \(\{ ( 1,5 ) \}\)
• D) \(\{ ( 8,3 ) \}\)

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Definitions:

Connective

In formal logic, an operator that combines propositions to form a new proposition with a truth value derived from the original propositions.

Consistent

Marked by harmony, regularity, or steady continuity; free from contradiction.

Truth Tables

A table used in logic to determine whether a proposition is true or false for all possible logical variable combinations.

Conjunction

A logical operator that connects two statements or propositions, where the truth of both is required for the entire statement to be true.