Solve the system of equations by any method. $$ -3 x+12 y=9 $$ Enter the exact answer as an ordered pair, $$ (x, y) $$. If there is no solution, enter NS. If there is an infinite number of solutions, enter the an ordered pair in terms of $$ x $$. Include a multiplication sign between symbols. For example, $$ a $$ * $$ x $$. NS

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UpStudy AI · Accepted Answer

The system of equations provided is not in the correct format for solving. Let's rewrite the system of equations as a system of two equations:

$$ -3x + 12y = 9 $$

To solve this system of equations, we can use any method such as substitution, elimination, or graphing. Let's solve it using the elimination method.

First, we can multiply the first equation by 3 to make the coefficients of $$ x $$ in both equations the same:

$$ -9x + 36y = 27 $$

Now, we can add the two equations to eliminate the variable $$ x $$:

$$ (-9x + 36y) + (-3x + 12y) = 27 + 9 $$

$$ -12x + 48y = 36 $$

Now, we can solve for $$ y $$ in terms of $$ x $$:

$$ 48y = 36 + 12x $$

$$ y = \frac{36 + 12x}{48} $$

$$ y = \frac{3 + x}{4} $$

Therefore, the solution to the system of equations is $$ (x, y) = (x, \frac{3 + x}{4}) $$.
The solution is $$ (x, \frac{3 + x}{4}) $$.

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