Find the solution of the equation x+2y = 6 from the options given below

A. (0,3),(6,0),(2,2) and (4,1)

B. (0,2),(6,0),(2,2) and (4,1)

C. (0,3),(6,0),(2,2) and (3,1)

D. (0,3),(6,0),(1,2) and (4,1)

Answer: A

(0,3),(6,0),(2,2) and (4,1)

The given equation is x + 2y = 6…… (1)

Putting x = 0 in equation 1, we have

0 + 2y = 6

2y=6

y=3

(x,y) = (0,3)

(0,3) is a solution

Putting y=0 in equation 1, we have

x + 2 X 0 =6

x=6

(x,y) = (6,0)

(6,0) is a solution

Putting x = 2 in equation 1,we get

2 + 2y = 6

2y = 6 – 2

2y = 4

y=2

(x,y) = (2,2)

(2,2) is a solution

Putting x = 4 in equation 1, we get

4 + 2y = 6

2y = 2

y=1

(x,y) = (4,1)

(4,1) is a solution