ax+y=2x+(a-1)y

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Solution for ax+y=2x+(a-1)y equation:


Simplifying
ax + y = 2x + (a + -1) * y

Reorder the terms:
ax + y = 2x + (-1 + a) * y

Reorder the terms for easier multiplication:
ax + y = 2x + y(-1 + a)
ax + y = 2x + (-1 * y + a * y)

Reorder the terms:
ax + y = 2x + (ay + -1y)
ax + y = 2x + (ay + -1y)

Reorder the terms:
ax + y = ay + 2x + -1y

Solving
ax + y = ay + 2x + -1y

Solving for variable 'a'.

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

Add '-1ay' to each side of the equation.
ax + -1ay + y = ay + 2x + -1ay + -1y

Reorder the terms:
ax + -1ay + y = ay + -1ay + 2x + -1y

Combine like terms: ay + -1ay = 0
ax + -1ay + y = 0 + 2x + -1y
ax + -1ay + y = 2x + -1y

Add '-1y' to each side of the equation.
ax + -1ay + y + -1y = 2x + -1y + -1y

Combine like terms: y + -1y = 0
ax + -1ay + 0 = 2x + -1y + -1y
ax + -1ay = 2x + -1y + -1y

Combine like terms: -1y + -1y = -2y
ax + -1ay = 2x + -2y

Reorder the terms:
ax + -1ay + -2x + 2y = 2x + -2x + -2y + 2y

Combine like terms: 2x + -2x = 0
ax + -1ay + -2x + 2y = 0 + -2y + 2y
ax + -1ay + -2x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
ax + -1ay + -2x + 2y = 0

The solution to this equation could not be determined.

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