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Use the Substitution Method or the Elimination Method to Solve 12x+13y=414x+16y=2\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.
- 12x+13y=414x+16y=2\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) ( 0,12 )
B) (1,152) \left( - 1 , \frac { 15 } { 2 } \right)
C) (x,32x+12) \left( x , - \frac { 3 } { 2 } x + 12 \right) or (23y+8,y) \left( - \frac { 2 } { 3 } y + 8 , y \right)
D) no solution

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