ax+by=12

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Solution for ax+by=12 equation: 


Simplifying
ax + by = 12

Solving
ax + by = 12

Solving for variable 'a'.

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

Add '-1by' to each side of the equation.
ax + by + -1by = 12 + -1by

Combine like terms: by + -1by = 0
ax + 0 = 12 + -1by
ax = 12 + -1by

Divide each side by 'x'.
a = 12x-1 + -1bx-1y

Simplifying
a = 12x-1 + -1bx-1y

Reorder the terms:
a = -1bx-1y + 12x-1

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