40=ax+by

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Solution for 40=ax+by equation: 


Simplifying
40 = ax + by

Solving
40 = ax + by

Solving for variable 'a'.

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

Add '-1ax' to each side of the equation.
40 + -1ax = ax + -1ax + by

Combine like terms: ax + -1ax = 0
40 + -1ax = 0 + by
40 + -1ax = by

Add '-40' to each side of the equation.
40 + -40 + -1ax = -40 + by

Combine like terms: 40 + -40 = 0
0 + -1ax = -40 + by
-1ax = -40 + by

Divide each side by '-1x'.
a = 40x-1 + -1bx-1y

Simplifying
a = 40x-1 + -1bx-1y

Reorder the terms:
a = -1bx-1y + 40x-1

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