To determine if the point \((-9, -10)\) is a solution to the given system of equations, we can substitute \(x = -9\) and \(y = -10\) into both equations and check if they hold true.
The given equations are:
- \(17x - 17y = 17\)
- \(6x - 4y = -14\)
Let's check the first equation:
\[ 17(-9) - 17(-10) = 17 \] Calculating the left side:
\[ -153 + 170 = 17 \]
This simplifies to:
\[ 17 = 17 \]
So the first equation is satisfied.
Now let's check the second equation:
\[ 6(-9) - 4(-10) = -14 \] Calculating the left side:
\[ -54 + 40 = -14 \]
This simplifies to:
\[ -14 = -14 \]
So the second equation is also satisfied.
Since both equations are satisfied, the point \((-9, -10)\) is indeed a solution to the system of equations.
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