Question

3. Express the set {(x, y) : x + 2y = 11, x , y EN} as the set of ordered pairs.​

Answer 1

Answer:

The ordered pairs of (x,y) are (1,5),(3,4),(5,3),(7,2) and (9,1)

Step-by-step explanation:

{(x, y) : x + 2y = 11, x , y ∈ N}

so, given x+2y = 11

=> x = 11-2y

when y = 1 ,  x = 11- 2(1) = 11-2 = 9  so, (x,y) = (9,1)

when y = 2 ,  x = 11- 2(2) = 11-4 = 7  so, (x,y) = (7,2)

when y = 3 ,  x = 11- 2(3) = 11-6 = 5  so, (x,y) = (5,3)

when y = 4 ,  x = 11- 2(4) = 11-8= 3 so, (x,y) = (3,4)

when y = 5 ,  x = 11- 2(5) = 11-10= 1 so, (x,y) = (1,5)

so, the ordered pairs of (x,y) are (1,5),(3,4),(5,3),(7,2) and (9,1)