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Draw the graphs of x-y+1=0 and 3x+2y-12=...

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

Text Solution

Verified by Experts

`x-y+1 =0->Eq(1)`
If we put,` x=0`, then ` y = 1`
If we put `y=0` then `x=-1`
So, we can draw aline with points (0,1) and (-1,0).
Please refer to video for graph.
`3x+2y-12=0->Eq(2)`
If we put,` x=0`, then ` y = 6`
If we put `y=0` then `x=4`
...
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