Question

Draw the graphs of 2x+y=6 and y=2x+2 intersecting x and y axes in the points A, B,and C, D respectively. The point of intersection of two lines is E. Find the area of AEB and EDB. ​

Answer 1

Answer:

for graph plz refere the picture

Given:-

$2x + y = 6 \: \: \: \: \: .............(1) \\ y = 2x + 2 \: \: \: ..............(2)$

To find :-

• area of AEB and EDB

Solution:-

first we will take equation 1

and solve for y

let,

x be 0 , 1

$now \: put \: x = 0 \: in \: equation \: 1 \\ \\ 2x + y = 6 \\ 2 \times 0 + y = 6 \\ 0 + y = 6 \\ y = 6 \\ \\ now \: put \: x = 1 \\ \\ 2x + y = 6 \\ 2 \times 1 + y = 6 \\ 2 + y = 6 \\ y = 6 - 2 \\ y = 4 \\ \\ same \: take \: equation \: 2 \: and \: solve \: for \: y \\ \\ let \: \: x \: \: be \: 1 \: and \: 2$

$y = 2x + 2 \\ put \: x \: = - 1 \\ \\ y = 2 \times - 1 + 2 \\ y = 0\\ \\ put \: x \: = 2 \\ \\ y \: = 2x + 2 \\ y = 2 \times 2 + 2 \\ y = 4 + 2 \\ y = 6$