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Solve the System by the Addition Method, If Possible {2(x+y)=y197(x+10)=y+17\left\{ \begin{array} { c } 2 ( x + y ) = y - 19 \\7 ( x + 10 ) = y + 17\end{array} \right.

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Solve the system by the addition method, if possible. If a solution exists, give the value of x. {2(x+y) =y197(x+10) =y+17\left\{ \begin{array} { c } 2 ( x + y ) = y - 19 \\7 ( x + 10 ) = y + 17\end{array} \right.


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