Draw the graphs of the equations x-y+1=0 and 3x+2y-12=0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis and shade the triangular region.

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Draw the graphs of the equations $x - y + 1 = 0$ and $3 x + 2 y - 12 = 0$ . Determine the coordinates of the vertices of the triangle formed by these lines and the $x$ -axis and shade the triangular region.

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