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Simplifying 52x + 43y + 10z = 100 Solving 52x + 43y + 10z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43y' to each side of the equation. 52x + 43y + -43y + 10z = 100 + -43y Combine like terms: 43y + -43y = 0 52x + 0 + 10z = 100 + -43y 52x + 10z = 100 + -43y Add '-10z' to each side of the equation. 52x + 10z + -10z = 100 + -43y + -10z Combine like terms: 10z + -10z = 0 52x + 0 = 100 + -43y + -10z 52x = 100 + -43y + -10z Divide each side by '52'. x = 1.923076923 + -0.8269230769y + -0.1923076923z Simplifying x = 1.923076923 + -0.8269230769y + -0.1923076923z
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