Use the Substitution Method or the Elimination Method to Solve $$\begin{array} { l } \frac { 1 } { 2 } x + \frac { 1 } { 3 } y = 4 \\\frac { 1 } { 4 } x + \frac { 1 } { 6 } y = 2\end{array}$$

question 44

Multiple Choice

Use the substitution method or the elimination method to solve the system. If the system has infinitely many solutions, express the ordered pair in terms of x or y.
- $$\begin{array} { l } \frac { 1 } { 2 } x + \frac { 1 } { 3 } y = 4 \\\frac { 1 } { 4 } x + \frac { 1 } { 6 } y = 2\end{array}$$

• A) \(( 0,12 )\)
• B) \(\left( - 1 , \frac { 15 } { 2 } \right)\)
• C) \(\left( x , - \frac { 3 } { 2 } x + 12 \right)\) or \(\left( - \frac { 2 } { 3 } y + 8 , y \right)\)
• D) no solution

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Definitions:

Yalta Conference

A meeting held in February 1945 among the heads of government of the United States, the United Kingdom, and the Soviet Union (Roosevelt, Churchill, and Stalin) to discuss post-World War II reorganization of Europe and the establishment of the United Nations.

Protectorate

A state or territory partially controlled and protected by a more powerful country but retaining some degree of internal autonomy.

Pro-Soviet Government

Governments or political regimes that were aligned with or supportive of the Soviet Union during the Cold War, often influenced by communist ideology.

Dumbarton Oaks

The site in Washington, D.C., where discussions were held in 1944 that led to the creation of the United Nations.