Question Find the solution of the system of equations. \[ \begin{array}{r}10 x-2 y=44 \\ -2 x-9 y=10\end{array} \] Answer Attempt 1 out of 2 \( (\square \square, \square) \) Suls answer

To solve the system of equations, let's first simplify both equations. The first equation is \(10x - 2y = 44\), which simplifies to \(5x - y = 22\) when divided by 2. The second equation, \(-2x - 9y = 10\), can remain as it is for now. Now we can express \(y\) in terms of \(x\) from the first equation: \(y = 5x - 22\). Substituting this expression into the second equation gives us \(-2x - 9(5x - 22) = 10\). Solving this will lead us to the values of \(x\) and \(y\)! After performing the algebra, you will find that \(x = 2\) and substituting back to find \(y\) will yield \(y = -8\). So, the solution of the system is \( (2, -8) \).