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Simplifying z(x + y) = 3x + 6y (x * z + y * z) = 3x + 6y (xz + yz) = 3x + 6y Solving xz + yz = 3x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. xz + -3x + yz = 3x + -3x + 6y Reorder the terms: -3x + xz + yz = 3x + -3x + 6y Combine like terms: 3x + -3x = 0 -3x + xz + yz = 0 + 6y -3x + xz + yz = 6y Add '-1yz' to each side of the equation. -3x + xz + yz + -1yz = 6y + -1yz Combine like terms: yz + -1yz = 0 -3x + xz + 0 = 6y + -1yz -3x + xz = 6y + -1yz Reorder the terms: -3x + xz + -6y + yz = 6y + -6y + -1yz + yz Combine like terms: 6y + -6y = 0 -3x + xz + -6y + yz = 0 + -1yz + yz -3x + xz + -6y + yz = -1yz + yz Combine like terms: -1yz + yz = 0 -3x + xz + -6y + yz = 0 The solution to this equation could not be determined.
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