5x+y+.05Z=100

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Solution for 5x+y+.05Z=100 equation:


Simplifying
5x + y + 0.05Z = 100

Reorder the terms:
0.05Z + 5x + y = 100

Solving
0.05Z + 5x + y = 100

Solving for variable 'Z'.

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

Add '-5x' to each side of the equation.
0.05Z + 5x + -5x + y = 100 + -5x

Combine like terms: 5x + -5x = 0
0.05Z + 0 + y = 100 + -5x
0.05Z + y = 100 + -5x

Add '-1y' to each side of the equation.
0.05Z + y + -1y = 100 + -5x + -1y

Combine like terms: y + -1y = 0
0.05Z + 0 = 100 + -5x + -1y
0.05Z = 100 + -5x + -1y

Divide each side by '0.05'.
Z = 2000 + -100x + -20y

Simplifying
Z = 2000 + -100x + -20y

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