. If x + 5y = 34 and x – 5y = – 6, find the value of 5y – 2x.
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Given,
First equation is :
x+5y = 34
Second equation is :
x-5y = -6
To find,
The value of (5y-2x)
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Now,
x+5y = 34 ....(I)
x-5y = -6....(II)
By, adding (II) with (I), we get -
ㅤx+5y = 34
(+) x-5y = -6
___________
ㅤㅤㅤ2x = 28
So,
2x = 28
or, x = 28/2
or, x = 14
Now, putting the derived value of x into (I)
14+5y = 34
or, 5y = 34-14
or, 5y = 20
or, y = 20/5
or, y = 4
Finally, putting the derived values of x and y, in the expression of (5x-2y) :
= (5×14)-(2×4)
= 70-8
= 62
(This will be considered as the final result.)
Hence, the value of (5x-2y) is 62
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