7. 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. Solution x–y+1=0--------(1) 3x+2y–12=0----------(2) x–y+1=0 Put x=0 0-y+1=0 Y=1 Put y=0 x-0+1=0 x=-1 Table x 0 1 y 1 0 (x,y) (0,1) (-1,0) 3x+2y–12=0 Put x=0 3(0)+2y=12 2y=12 Y=6 Put y=0 3x+2(0)-12=0 3x=12 X=12/3=4 X=4 Table x 0 4 y 6 0 (x,y) (0,6) (4,0)
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