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Solve the equations graphically and find the vertices and the area of the triangle formed by these lines and the x-axis: 4x-3y+4=0, 4x+3y-20=0

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One of the most important and exam oriented question as it was already asked in previous year paper of 2008 in which we have given that 4x-3y+4=0, 4x+3y-20=0 and we have to solve the equations graphically and also asked to find the vertices and the area of the triangle formed by these lines and the x-axis

RS Aggarwal, Class 10, chapter 3A, question no 13

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1. 4xâˆ’3y+4=0….(1)4x+3yâˆ’20=0……(2)

IsolateÂ xÂ from equation (1) and find the value ofÂ xÂ andÂ y.
4xâˆ’3y+4=0
orÂ x=(3yâˆ’4)/4

 Â  Â  Â x Â  Â  Â y Â Â âˆ’1 Â  Â  Â 0 Â  Â Â 2 Â  Â  Â 4 âˆ’4 Â Â âˆ’4

Similarly, isolateÂ xÂ from equation (2) and find the values ofÂ xÂ andÂ y.
4x+3yâˆ’20=0
orÂ x=(20âˆ’3y)/4

 Â  Â Â x Â Â y Â  Â Â 5 Â Â 0 Â  Â 2 Â Â 4 âˆ’1 Â  Â 8

Graph:
Both the lines intersect each other at pointÂ (2,4)Â andÂ xâˆ’Â axis atÂ A(âˆ’1,0)Â andÂ D(5,0).
Find the area of triangleÂ BAD: