Math, asked by 27jenny, 1 year ago

The solution for the pair of equations 1/16x+1/15y=9/20,,,,,,,,,1/20x-1/27y=4/45............
a.1/4,1/3
b.1/3,1/4
c.3,4
d.4,3
plz ans as soon as possible ......I will mark u brainliest if ur ans satisfy me...


yashodha: u have to shame on u.i give the correct answer but u reported my answer.
yashodha: if u want answer by using options u should mention in ur question first

Answers

Answered by amritstar
70
solution:

Friend i have solved it and answer will come option (D)

So, let's check it.

Here, value of x= 4 and y= 3

Putting it in 1st equation.

=> 1/16*4 + 1/15*3

=> 1/4+ 1/5

=> 9/20= RHS [Hence, it is solution ]

Now, putting it in 2nd equation.

=> 1/20*4 - 1/27*3

=> 1/5 - 1/9

=> 4/45= RHS [Hence, it also solution of 2nd equation]

Btw, you can also solve the equation and gain answer.
____________________
Hope it helps☺

#Amrit⭐

Answered by avinash500200
58

Ans. = ( 1/4 , 1/3 )

Step-by-step explanation:

1/16x+1/15y=9/20 .eq 1

1/20x-1/27y=4/45 .eq 2

multiplying eq 1 with 1/5

1/80x + 1/75y=9/100 .eq 3

multiplying eq 2 with 1/4

1/80x - 1/108y=4/180 .eq 4

now subtract eq 4 from eq 3

1/80x +1/75y = 9/100

- (1/80x -1/108y)= 4/180

__________________

1/75y + 1/108y = 9/100 - 4/180

=36+25/2700y = 81-20/900

=61/2700y = 61/900

=> 1/y = 61×2700/900×61

=> 1/y = 3

________

[=> y =1/3 ]

________

putting the value of y in eq 1

1/16x +1/(15×1/3) = 9/20

=>1/16x + 1/5 = 9/20

=>1/16x = 9/20-1/5

=>1/16x = 9-4/20

=>1/16x = 5/20

=>1/x = 5×16/20

=>1/x = 80/20

=>1/x = 4

___________

[=> x =1/4 ]

___________

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