Question

If 2X+3Y=14 and X and Y are positive then X can be equal to what?​

Answer 1

Answer:

X can be 1,4 &7 and Y=4,2 & 0

2x+3y=14

2(1)+3(4)= 14

2+ 12=14

14=14

or

2x+3y=14

2(4)+3(2)=14

8 +6=14

14=14

or

2x+3y=14

2(7)+ 3(0)= 14

14+0=14

14=14

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Answer 2

2x+3y=14

have x and y are positive

=> 2x > 0

=> 3y > 0

we have many circumstances here :

circumstance 1 :

2x=1 => x=1/2         (removed)

3y=13=>y=13/3

circumstance 2:

2x=2=>x=1           ( choose)

3y=12=>y=4

...

and many circumstances .....