a*x+b*y=3*x+5*y

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Solution for a*x+b*y=3*x+5*y equation: 


Simplifying
a * x + b * y = 3x + 5y

Multiply a * x
ax + b * y = 3x + 5y

Multiply b * y
ax + by = 3x + 5y

Solving
ax + by = 3x + 5y

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 = 3x + -1by + 5y

Combine like terms: by + -1by = 0
ax + 0 = 3x + -1by + 5y
ax = 3x + -1by + 5y

Reorder the terms:
ax = -1by + 3x + 5y

Divide each side by 'x'.
a = -1bx-1y + 3 + 5x-1y

Simplifying
a = -1bx-1y + 3 + 5x-1y

Reorder the terms:
a = 3 + -1bx-1y + 5x-1y

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