Question

Q. Compute the area bounded by the lines x + 2y =2, y - x =1 and 2x + y = 7.


full explanation..
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Answer 1

Answer:

We have lines

x+2y=2 (i)

y-x=1 (ii)

and 2x+y=7 (iii)

Solving (i) and (ii), we get point of intersection (0,1)

Solving (ii) and (iii), we get point of intersection (2,3)

Solving (i) and (iii), we get point of intersection (4,-1)

These lines are plotted on coordinate plane as shown in the following figure,

Answer 2

Answer:

We have lines

x+2y=2 (i)

y-x=1 (ii)

and 2x+y=7 (iii)

Solving (i) and (ii), we get point of intersection (0,1)

Solving (ii) and (iii), we get point of intersection (2,3)

Solving (i) and (iii), we get point of intersection (4,-1)

These lines are plotted on coordinate plane as shown in the following figure