Question

15/u+2/v=17and1/u+1/v=36/5 find by substitution method​

Answer 1

Answer:

hello

Step-by-step explanation:

Hi ,

15/u + 2/v = 17 ---( 1 )

1/u + 1/v = 36/5 ---( 2 )

multiply equation ( 2 ) with 2 , we get

2/u + 2/v = 72/5 ---( 3 )

subtract equation ( 3 ) from equation ( 1 ),

we get

15/u - 2/u = 17 - 72/5

13/u = ( 85 - 72 )/5

13/u = 13/5

1/u = 13 / ( 5 × 13 )

1/u = 1/5

u = 5 --- ( 4 )

substitute u = 5 in equation ( 1 ) , we get

15/5 + 2/v = 17

3 + 2/v = 17

2/v = 17 - 3

2/v = 14

v/2 = 1/14

v = 2/14

v = 1/7

Therefore ,

u = 5 , v = 1/7

I hope this helps you.

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