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Simplifying x + y(k + 1) = 5 Reorder the terms: x + y(1 + k) = 5 x + (1 * y + k * y) = 5 Reorder the terms: x + (ky + 1y) = 5 x + (ky + 1y) = 5 Reorder the terms: ky + x + 1y = 5 Solving ky + x + 1y = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. ky + x + -1x + 1y = 5 + -1x Combine like terms: x + -1x = 0 ky + 0 + 1y = 5 + -1x ky + 1y = 5 + -1x Add '-1y' to each side of the equation. ky + 1y + -1y = 5 + -1x + -1y Combine like terms: 1y + -1y = 0 ky + 0 = 5 + -1x + -1y ky = 5 + -1x + -1y Divide each side by 'y'. k = 5y-1 + -1xy-1 + -1 Simplifying k = 5y-1 + -1xy-1 + -1 Reorder the terms: k = -1 + -1xy-1 + 5y-1
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