Question

The The number of ordered pairs (x y).
satisfing 3x+2y = 27 is a, then
the value of a, if x and
y are non-
negative integers ​

Answer 1

Given : The number of ordered pairs (x y).  satisfying 3x+2y = 27 is a,  x and

y are non-  negative integers ​

To find :   Value of a  

Solution:

3x  +   2y   =  27

=> 2y  =  27 - 3x

=> 2y = 3 ( 9 - x)  

=> y  = 3( 9 -  x) / 2

x & y are non negative integers

Hence 9 - x ≥ 0

=> x ≤ 9

also 9 - x must be Even  

Hence Possible Values of x  

are 9 , 7  ,  5   ,  3  ,   1

Corresponding y = 0  , 3  , 6 ,  9  ,  12

5 Ordered Pairs

= ( 9 , 0)  , ( 7 , 3) ,  (5 , 6)  , (3 , 9 ) , ( 1 , 12)

Hence  Value of  a = 5

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Answer 2

Answer:

Step-by-step explanation:

HELLO DEAR,

The given equation,

3x + 2y = 27

And x and y are non - negative integer.

Solution: Take x= 1.

3× 1 +2y = 27

2y= 27-3

2y=24

Y= 12. Order pair (1,12)

We have putt the value of x is odd because we have to find y is a integer and ut only happen 2y = even number.

Take x= 3,

3×3 + 2y = 27

2y= 27- 9.

2y= 18

y= 9. Order pair ( 3,9)

Take x= 5

3×5 + 2y = 27

2y = 27 - 15

2y = 12

y = 6. Order pair (5,6(

Take x= 7,

3×7+2y = 27

21 + 2y = 27

2y = 27-21

2y = 6

Y= 3. Order pair (7,3)

Take x= 9,

3×9 + 2y = 27

27 +2y = 27

2y= 27-27

2y = 0

y = 0. Order pair (9,0).

Therefore all order pair are

(1,12). (3,9). (5,6). (7,3) (9,0)

I HOPE IT HELP YOU DEAR,

THANKS.