Draw the graphs of the equation 2x - y = -8, 8x + 3y = 24. Determine the vertices of the triangle by the lines representing these equations and the x axis. Shade the triangular region.

or y = 2x+8 (shown in blue)

x | -4 | 0 | -2 | 2 |

y | 0 | 8 | 4 | 12 |

8x+3y =24 (shown in red)

x | 3 | 0 | 1.5 |

y | 0 | 8 | 4 |

From following graph we can say that vertices of the triangle are (-4,0) , (8,0) and (3,0) .

Hope this would have cleared your doubt .

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