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Simplifying x + -1(3k + 1) * y = 5 Reorder the terms: x + -1(1 + 3k) * y = 5 Reorder the terms for easier multiplication: x + -1y(1 + 3k) = 5 x + (1 * -1y + 3k * -1y) = 5 Reorder the terms: x + (-3ky + -1y) = 5 x + (-3ky + -1y) = 5 Reorder the terms: -3ky + x + -1y = 5 Solving -3ky + 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. -3ky + x + -1x + -1y = 5 + -1x Combine like terms: x + -1x = 0 -3ky + 0 + -1y = 5 + -1x -3ky + -1y = 5 + -1x Add 'y' to each side of the equation. -3ky + -1y + y = 5 + -1x + y Combine like terms: -1y + y = 0 -3ky + 0 = 5 + -1x + y -3ky = 5 + -1x + y Divide each side by '-3y'. k = -1.666666667y-1 + 0.3333333333xy-1 + -0.3333333333 Simplifying k = -1.666666667y-1 + 0.3333333333xy-1 + -0.3333333333 Reorder the terms: k = -0.3333333333 + 0.3333333333xy-1 + -1.666666667y-1
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