Question

x/5 +y/6 +1 =x/6 +y/5 =28
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Answer 1

Answer: x = 60 and y = 90

Step-by-step explanation:

The problem itself is wrong,

Do the corrections as follows,

x/5 + y/6 = 27 ------( 1 )

x / 6 + y / 5 = 28 -----( 2 )

Multiply equations with 30 , we get

6x + 5y = 810 -----( 3 )

5x + 6y = 840 ----( 4 )

Multiply equation ( 3 ) with 6, we get

36x + 30y = 4860------( 5 )

Multiply equation with 5 , we get

25x + 30y = 4200 ------( 6 )

Subtract ( 6 ) from ( 5 ), we get

11x = 660

x = 660 / 11

x = 60

Put x = 60 in equation ( 5 ), we get

y = 90

Therefore,

x = 60 and y = 90

Answer 2

Answer:

x/5 +y/6 +1 =x/6 +y/5 =28

Step-by-step explanation:

In mathematics, the Lambert W function, also called the omega function or product logarithm, is a set of functions, namely the branches of the inverse relation of the function f(z) = zez, where ez is the exponential function, and z is any complex number (x+iy). In other words

{\displaystyle z=f^{-1}\left(ze^{z}\right)=W\left(ze^{z}\right).}{\displaystyle z=f^{-1}\left(ze^{z}\right)=W\left(ze^{z}\right).}

By substituting z0 = zez into the equation above, we get the defining equation for the W function (and for the W relation in general):

{\displaystyle z_{0}=W(z_{0})e^{W(z_{0})}}{\displaystyle z_{0}=W(z_{0})e^{W(z_{0})}}

for any complex number z0.

The relation W is multivalued (except at 0). If we restrict attention to real-valued W, the complex variable z is then replaced by the real variable x, and the relation is defined only for x ≥ −1/e and is double-valued on the interval (−1/e, 0). The additional constraint W ≥ −1 defines a single-valued function W0(x). We have W0(0) = 0 and W0(−1/e) = −1. Meanwhile, the lower branch has W ≤ −1 and is denoted W−1(x). It decreases from W−1(−1/e) = −1 to W−1(0−) = −∞.

It can be extended to the function z = xax using the identity

{\displaystyle x={\frac {W(z\ln {a})}{\ln {a}}}.}{\displaystyle x={\frac {W(z\ln {a})}{\ln {a}}}.}

The Lambert W relation cannot be expressed in terms of elementary functions.[1] It is useful in combinatorics, for instance, in the enumeration of trees. It can be used to solve various equations involving exponentials (e.g. the maxima of the Planck, Bose–Einstein, and Fermi–Dirac distributions) and also occurs in the solution of delay differential equations, such as y′(t) = a y(t − 1). In biochemistry, and in particular enzyme kinetics, a closed-form solution for the time-course kinetics analysis of Michaelis–Menten kinetics is described in terms of the Lambert W function.