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Simplifying (y + -1z) * p + (z + -1x) * q = x + -1y Reorder the terms for easier multiplication: p(y + -1z) + (z + -1x) * q = x + -1y (y * p + -1z * p) + (z + -1x) * q = x + -1y (py + -1pz) + (z + -1x) * q = x + -1y Reorder the terms: py + -1pz + (-1x + z) * q = x + -1y Reorder the terms for easier multiplication: py + -1pz + q(-1x + z) = x + -1y py + -1pz + (-1x * q + z * q) = x + -1y py + -1pz + (-1qx + qz) = x + -1y Solving py + -1pz + -1qx + qz = x + -1y Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'qx' to each side of the equation. py + -1pz + -1qx + qx + qz = x + qx + -1y Combine like terms: -1qx + qx = 0 py + -1pz + 0 + qz = x + qx + -1y py + -1pz + qz = x + qx + -1y Reorder the terms: py + -1pz + qz = qx + x + -1y Add '-1qz' to each side of the equation. py + -1pz + qz + -1qz = qx + x + -1qz + -1y Combine like terms: qz + -1qz = 0 py + -1pz + 0 = qx + x + -1qz + -1y py + -1pz = qx + x + -1qz + -1y Reorder the terms: py + -1pz = qx + -1qz + x + -1y Reorder the terms: py + -1pz + -1qx + qz + -1x + y = qx + -1qx + -1qz + qz + x + -1x + -1y + y Combine like terms: qx + -1qx = 0 py + -1pz + -1qx + qz + -1x + y = 0 + -1qz + qz + x + -1x + -1y + y py + -1pz + -1qx + qz + -1x + y = -1qz + qz + x + -1x + -1y + y Combine like terms: -1qz + qz = 0 py + -1pz + -1qx + qz + -1x + y = 0 + x + -1x + -1y + y py + -1pz + -1qx + qz + -1x + y = x + -1x + -1y + y Combine like terms: x + -1x = 0 py + -1pz + -1qx + qz + -1x + y = 0 + -1y + y py + -1pz + -1qx + qz + -1x + y = -1y + y Combine like terms: -1y + y = 0 py + -1pz + -1qx + qz + -1x + y = 0 The solution to this equation could not be determined.
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