Mathematics, 12.09.2021 04:30 chanteeaston9461

For m, w, x, y, z $\in \mathbb{Z}$ and m>0, demonstrate that: $\small\left\{\begin{array}{cccc}w&\equiv& x& (\mathrm{mod} m)\\y&\equiv& z& (\mathrm{mod} m)\end{array}\right.\Rightarrow\left\{\begin{array}{cccc}w+y&\equiv& x+z& (\mathrm{mod} m)\\w.y&\equiv& x.z& (\mathrm{mod} m)\end{array}\right.$

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