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Solve the system.
$ \left\{ \begin{tabular}{l} $ y = x + {\color{red}-2} $ \\ $ y = -{\color{red}3} x + {\color{red}10} $ \end{tabular} \right. $


    The TeX makes it hard to read, but it appears you want to solve

    y = x + 2
    y = -3x + 10

    If that's so, then just substitute the 1st value for y into the 2nd equation:

    x+2 = -3x+10
    so, y=4

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