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Simplifying z(2x + 3y) = y(x + -1z) (2x * z + 3y * z) = y(x + -1z) (2xz + 3yz) = y(x + -1z) 2xz + 3yz = (x * y + -1z * y) 2xz + 3yz = (xy + -1yz) Solving 2xz + 3yz = xy + -1yz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xy' to each side of the equation. 2xz + -1xy + 3yz = xy + -1xy + -1yz Reorder the terms: -1xy + 2xz + 3yz = xy + -1xy + -1yz Combine like terms: xy + -1xy = 0 -1xy + 2xz + 3yz = 0 + -1yz -1xy + 2xz + 3yz = -1yz Add '-3yz' to each side of the equation. -1xy + 2xz + 3yz + -3yz = -1yz + -3yz Combine like terms: 3yz + -3yz = 0 -1xy + 2xz + 0 = -1yz + -3yz -1xy + 2xz = -1yz + -3yz Combine like terms: -1yz + -3yz = -4yz -1xy + 2xz = -4yz Combine like terms: -4yz + 4yz = 0 -1xy + 2xz + 4yz = 0 The solution to this equation could not be determined.
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