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.
2x -y = -8
or y = 2x+8 (shown in blue)
8x+3y =24 (shown in red)
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 .
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 .