Real plane/Line equation/Sketch and intersection/1/Exercise

1. Sketch the set ${}M={\left\{(x,y)\in \mathbb {R} ^{2}\mid 4x-7y=3\right\}}$ and the set ${}N={\left\{(x,y)\in \mathbb {R} ^{2}\mid 3x+2y=5\right\}}$.
2. Determine the intersection ${}M\cap N$ geometrically and arithmetically.

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