Question

Draw the graph of the follwing equations :

2x-y-2=0

4x-3y-24=0

y+4=0

obtain the vertices of the triangle so obtained AND ALSO FIND THE AREA OF THE TRIANGLE

Answer 1

In the attachment I have answered this problem.

First I have found the vertices of the
Triangle by solving the given three equations.

2x - y - 2 = 0........(1)
4x - 3y - 24 = 0.......(2)
y = - 4 ..........(3)

Solving (1)&(2)
4x -2y - 4 = 0
4x -3y - 24 =0

y = - 20 ===> x = - 9
(x,y) = ( -9, -20)

Solving (2)&(3)

4x - 3y - 24 =0 & y = -4
4x -12=0 ==> x = 3
(x, y) = (3, -4)

Solving (3)&(1)
2x - y -2 =0 & y = -4
2x +2 =0 => x = -1
(x,y) = (-1, -4)

Answer 2

The pic above is the answer

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