Question

draw the graph of the lines 2x+y=6and 2x-y+2=0 shade the region bounded by these lines and the x axis find the area of the shaded region​

Answer 1

Answer:

we have two equations:

2x + y = 6

y = 6 - 2x -------(1)

2x - y + 2 = 0

2x - y = -2

-y = -2 -2x

y = 2 + 2x -------(2)

From equation (1)

y = 6 - 2x

Let x = 0

y = 6 - 2(0)

y = 6

Let x = 1

y = 6 -2(1)

y = 4

Let x = 2

y = 6 -2 (2)

y = 2

From equation (2)

y = 2 + 2x

Let x = 0

y = 2 + 2 (0)

y = 2

Let x = 1

y = 2 + 2 (1)

y = 4

Let x =2

y = 2 + 2 (2)

y = 6