• 0
Guru

# Solve the equations graphically and find the vertices and the area of the triangle formed by these lines and the x-axis: x-y+3=0, 2x+3y-4=0

• 0

An important question from RS Aggarwal, Chapter- Linear equations in which we have given the equations x-y+3=0, 2x+3y-4=0 And we have to solve the equations graphically and also we asked to find the vertices and the area of the triangle formed by these lines and the x-axis

Kindly solve the problem

Chapter 3A, question no 11

Share

1. ## xâˆ’y+3=0….(1)2x+3yâˆ’4=0……(2)

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

 Â  Â x Â  Â Â y âˆ’3 Â  Â Â 0 âˆ’1 Â  Â Â 2 Â  Â Â 0 Â  Â Â 3

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

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

Graph:
Both the lines intersect each other at pointÂ (âˆ’1,2)Â andÂ xâˆ’Â axis atÂ A(âˆ’3,0)Â andÂ D(2,0)Â Which form a triangle,Â BAD.

Now,
Find the area of triangleÂ BAD: