Question

find the value of x and y if xy+yx=zxz​

Answer 1

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this might help you

Answer 2

Given :  xy + yx = zxz

To Find :  value of x and y

Solution:

xy + yx = zxz

xy = yx

zx = xz

=> xy + xy = xzz

=> 2xy =xz²

=> 2xy - xz² = 0

=> x(2y - z²) = 0

=>x = 0   or  2y - z² =0

=> x = 0 or y = z²/2

x = 0 or y = z²/2

Another possibility.

xy + yx = zxz

=> 10x + y + 10y + x = 100z + 10x + z

z = 1  as sum of two digit numbers maximum can be 198

=> 11x + 11y = 101 + 10x

=> x + 11y = 101

y = 9 , x = 2  is only possible solution

29 + 92  = 121

x = 2

y = 9  

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