solve(y-z)p-(z-x)q=x-y

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Solution for solve(y-z)p-(z-x)q=x-y equation:


Simplifying
solve(y + -1z) * p + -1(z + -1x) * q = x + -1y

Reorder the terms for easier multiplication:
elosv * p(y + -1z) + -1(z + -1x) * q = x + -1y

Multiply elosv * p
elopsv(y + -1z) + -1(z + -1x) * q = x + -1y
(y * elopsv + -1z * elopsv) + -1(z + -1x) * q = x + -1y
(elopsvy + -1elopsvz) + -1(z + -1x) * q = x + -1y

Reorder the terms:
elopsvy + -1elopsvz + -1(-1x + z) * q = x + -1y

Reorder the terms for easier multiplication:
elopsvy + -1elopsvz + -1q(-1x + z) = x + -1y
elopsvy + -1elopsvz + (-1x * -1q + z * -1q) = x + -1y
elopsvy + -1elopsvz + (1qx + -1qz) = x + -1y

Solving
elopsvy + -1elopsvz + 1qx + -1qz = x + -1y

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-1qx' to each side of the equation.
elopsvy + -1elopsvz + 1qx + -1qx + -1qz = x + -1qx + -1y

Combine like terms: 1qx + -1qx = 0
elopsvy + -1elopsvz + 0 + -1qz = x + -1qx + -1y
elopsvy + -1elopsvz + -1qz = x + -1qx + -1y

Reorder the terms:
elopsvy + -1elopsvz + -1qz = -1qx + x + -1y

Add 'qz' to each side of the equation.
elopsvy + -1elopsvz + -1qz + qz = -1qx + x + qz + -1y

Combine like terms: -1qz + qz = 0
elopsvy + -1elopsvz + 0 = -1qx + x + qz + -1y
elopsvy + -1elopsvz = -1qx + x + qz + -1y

Reorder the terms:
elopsvy + -1elopsvz = -1qx + qz + x + -1y

Reorder the terms:
elopsvy + -1elopsvz + qx + -1qz + -1x + y = -1qx + qx + qz + -1qz + x + -1x + -1y + y

Combine like terms: -1qx + qx = 0
elopsvy + -1elopsvz + qx + -1qz + -1x + y = 0 + qz + -1qz + x + -1x + -1y + y
elopsvy + -1elopsvz + qx + -1qz + -1x + y = qz + -1qz + x + -1x + -1y + y

Combine like terms: qz + -1qz = 0
elopsvy + -1elopsvz + qx + -1qz + -1x + y = 0 + x + -1x + -1y + y
elopsvy + -1elopsvz + qx + -1qz + -1x + y = x + -1x + -1y + y

Combine like terms: x + -1x = 0
elopsvy + -1elopsvz + qx + -1qz + -1x + y = 0 + -1y + y
elopsvy + -1elopsvz + qx + -1qz + -1x + y = -1y + y

Combine like terms: -1y + y = 0
elopsvy + -1elopsvz + qx + -1qz + -1x + y = 0

The solution to this equation could not be determined.

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