(x+0.05)y=1.05y*x

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Solution for (x+0.05)y=1.05y*x equation:


Simplifying
(x + 0.05) * y = 1.05y * x

Reorder the terms:
(0.05 + x) * y = 1.05y * x

Reorder the terms for easier multiplication:
y(0.05 + x) = 1.05y * x
(0.05 * y + x * y) = 1.05y * x

Reorder the terms:
(xy + 0.05y) = 1.05y * x
(xy + 0.05y) = 1.05y * x

Multiply y * x
xy + 0.05y = 1.05xy

Solving
xy + 0.05y = 1.05xy

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.05xy' to each side of the equation.
xy + -1.05xy + 0.05y = 1.05xy + -1.05xy

Combine like terms: xy + -1.05xy = -0.05xy
-0.05xy + 0.05y = 1.05xy + -1.05xy

Combine like terms: 1.05xy + -1.05xy = 0.00
-0.05xy + 0.05y = 0.00

Add '-0.05y' to each side of the equation.
-0.05xy + 0.05y + -0.05y = 0.00 + -0.05y

Combine like terms: 0.05y + -0.05y = 0.00
-0.05xy + 0.00 = 0.00 + -0.05y
-0.05xy = 0.00 + -0.05y
Remove the zero:
-0.05xy = -0.05y

Divide each side by '-0.05y'.
x = 1

Simplifying
x = 1

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