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Simplifying (0.1x) + (1y) + (5z) = 100 Solving (0.1x) + (1y) + (5z) = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-1y)' to each side of the equation. (0.1x) + (1y) + (-1y) + (5z) = 100 + (-1y) Combine like terms: (1y) + (-1y) = 0 (0.1x) + 0 + (5z) = 100 + (-1y) (0.1x) + (5z) = 100 + (-1y) Add '(-5z)' to each side of the equation. (0.1x) + (5z) + (-5z) = 100 + (-1y) + (-5z) Combine like terms: (5z) + (-5z) = 0 (0.1x) + 0 = 100 + (-1y) + (-5z) (0.1x) = 100 + (-1y) + (-5z) Divide each side by '0.1'. x = 1000 + (-10y) + (-50z) Simplifying x = 1000 + (-10y) + (-50z)
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