(X+(0.10X))+(Y+(0.04Y))=523

Solution for (X+(0.10X))+(Y+(0.04Y))=523 equation:

Simplifying
(X + (0.10X)) + (Y + (0.04Y)) = 523

Combine like terms: X + (0.10X) = 1.1X
(1.1X) + (Y + (0.04Y)) = 523
(1.1X) + (Y + (0.04Y)) = 523

Combine like terms: Y + (0.04Y) = 1.04Y
(1.1X) + (1.04Y) = 523
(1.1X) + (1.04Y) = 523

Solving
(1.1X) + (1.04Y) = 523

Solving for variable 'X'.

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

Add '(-1.04Y)' to each side of the equation.
(1.1X) + (1.04Y) + (-1.04Y) = 523 + (-1.04Y)

Combine like terms: (1.04Y) + (-1.04Y) = 0.00
(1.1X) + 0.00 = 523 + (-1.04Y)
(1.1X) = 523 + (-1.04Y)

Divide each side by '1.1'.
X = 475.4545455 + (-0.9454545455Y)

Simplifying
X = 475.4545455 + (-0.9454545455Y)