Question

Draw the graph of 2x + y - 6 = 0 and 2x - y = -2. Also, find the area of the triangle formed by
the above lines and X-axis.​​

Answer 1

Answer:

2x+y=6

putx=0

y=6

putx=1

y=4

putx=2

y=2

and2x−y+2=0

puty=0

x=1

putx=0

y=2

putx=2

y=6

andx−y=0

x=0,y=0

x=1,y=1

x=2,y=2

Area of bounded region

2

1

[1(−2−2)−2(2−4)+2(4+2)]

2

1

[−4+4+12]

6sq.unit

Answer 2

2x + y = 6

⇒

⇒ y = 6 - 2x

When x = 0, we have

y = 6 - 2 x 0 = 6

When x = 3, we have

y = 6 - 2 x 3 = 0

When x = 2, we have

y = 6 - 2 x 2 = 2