Solve the following by cross multiplication
2/x+5/y=5/6.
choudharyshakti:
Second equation is 3/x+4/y=9/10
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Answered by
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take 1/x=a and take 1/5=b
then, 2a+5a=5/6
multiply by 6 in this eqn for cancel the 6
12a+30b=5
If u give the second equation so. i can find the value
then, 2a+5a=5/6
multiply by 6 in this eqn for cancel the 6
12a+30b=5
If u give the second equation so. i can find the value
3/x+4/y=9/10
how to give u answer bro what was write in the i can't see.....the box and there was no option for pic upload
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Answered by
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Solution :-
2/x + 5/y = 5/6 .............(1)
3/x + 4/y = 9/10 ............(2)
Multiplying (1) by 3 and (2) by 2, we get.
(2/x + 5/y = 5/6)*(3)
= 6/x + 15/y = 15/6 .............(3)
(3/x + 4/y = 9/10)*(2)
= 6/x + 8/y = 18/10 ..........(4)
Now, Subtracting (4) from (3), we get.
6/x + 15/y = 15/6 ; Solving 15/6 - 18/10
6/x + 8/y = 18/10 ; 15/6 - 18/10 = 21/30 (Explanation)
- - - ; Taking LCM of 6 and 10 then solving it
____________________ ; 15/6 - 18/10
7/y = 21/30 ; (75 - 54)/30
____________________ ; = 21/30
⇒ 7/y = 21/30
After cross multiplying, we get.
⇒ (21*y) = (30*7)
⇒ 21y = 210
⇒ y = 210/21
⇒ y = 10
Now, putting the value of y = 10 in (1), we get.
⇒ 2/x + 5/y = 5/6
⇒ 2/x + 5/10 = 5/6
⇒ 2/x = 5/6 - 5/10
Taking LCM of 6 and 10 and solving it, we get.
⇒ 5/6 - 5/10
⇒ (25 - 15)/30
⇒ 10/30
⇒ 2/x = 10/30
⇒ (10*x) = (30*2)
⇒ 10x = 60
⇒ x = 60/10
⇒ x = 6
Hence, the value of x is 6 and y is 10 respectively.
2/x + 5/y = 5/6 .............(1)
3/x + 4/y = 9/10 ............(2)
Multiplying (1) by 3 and (2) by 2, we get.
(2/x + 5/y = 5/6)*(3)
= 6/x + 15/y = 15/6 .............(3)
(3/x + 4/y = 9/10)*(2)
= 6/x + 8/y = 18/10 ..........(4)
Now, Subtracting (4) from (3), we get.
6/x + 15/y = 15/6 ; Solving 15/6 - 18/10
6/x + 8/y = 18/10 ; 15/6 - 18/10 = 21/30 (Explanation)
- - - ; Taking LCM of 6 and 10 then solving it
____________________ ; 15/6 - 18/10
7/y = 21/30 ; (75 - 54)/30
____________________ ; = 21/30
⇒ 7/y = 21/30
After cross multiplying, we get.
⇒ (21*y) = (30*7)
⇒ 21y = 210
⇒ y = 210/21
⇒ y = 10
Now, putting the value of y = 10 in (1), we get.
⇒ 2/x + 5/y = 5/6
⇒ 2/x + 5/10 = 5/6
⇒ 2/x = 5/6 - 5/10
Taking LCM of 6 and 10 and solving it, we get.
⇒ 5/6 - 5/10
⇒ (25 - 15)/30
⇒ 10/30
⇒ 2/x = 10/30
⇒ (10*x) = (30*2)
⇒ 10x = 60
⇒ x = 60/10
⇒ x = 6
Hence, the value of x is 6 and y is 10 respectively.
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