Math, asked by rohan834, 8 months ago

if 4x+3y=120, find how many positive integer solutions are possible?

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Answered by abhishekkumar725030
0

Answer:

Enfinite no of positive integers solution are posskble

Answered by rudra1313
2

Answer:

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Linear Equations in Two Variable

Solution of Linear Equations in Two Variables

If 4x + 3y = 120 , find how...

MATHS

If 4x+3y=120, find how many positive integer solutions are possible?

December 27, 2019

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Najiya Sapra

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ANSWER

3y+4x=120

y=

3

120−4x

y=4(

3

30−x

)

=40−

3

4x

For y to be positive integer, (40−

3

4x

)>0

And x should be multiple of 3

3

4x

<40 ⇒x<30

x is also positive integer

∴x>0

For y to be positive integer, x=3k and 0<x<3k

∴ Solution set =(3k,40,4k),k=1,2....9

9 solution are possible

i hope it help u

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