Problem

Is $(-1,-2)$ a solution to the following system:
\[
\begin{array}{l}
x+3 y=-7 \\
3 x-2 y=12
\end{array}
\]

Answer

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Answer

\(\boxed{\text{Final Answer: } (-1,-2) \text{ is not a solution to the system of equations.}}\)

Steps

Step 1 :Substitute the values of x and y from the point (-1,-2) into the equations.

Step 2 :For the first equation, we get -1 + 3*(-2) = -7 which holds true.

Step 3 :For the second equation, we get 3*(-1) - 2*(-2) = 1 which does not hold true.

Step 4 :Since both equations do not hold true, the point (-1,-2) is not a solution to the system of equations.

Step 5 :\(\boxed{\text{Final Answer: } (-1,-2) \text{ is not a solution to the system of equations.}}\)

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