3(x+2y)+4y=ax+by

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Solution for 3(x+2y)+4y=ax+by equation:


Simplifying
3(x + 2y) + 4y = ax + by
(x * 3 + 2y * 3) + 4y = ax + by
(3x + 6y) + 4y = ax + by

Combine like terms: 6y + 4y = 10y
3x + 10y = ax + by

Solving
3x + 10y = ax + by

Solving for variable 'x'.

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

Add '-1ax' to each side of the equation.
3x + -1ax + 10y = ax + -1ax + by

Reorder the terms:
-1ax + 3x + 10y = ax + -1ax + by

Combine like terms: ax + -1ax = 0
-1ax + 3x + 10y = 0 + by
-1ax + 3x + 10y = by

Add '-10y' to each side of the equation.
-1ax + 3x + 10y + -10y = by + -10y

Combine like terms: 10y + -10y = 0
-1ax + 3x + 0 = by + -10y
-1ax + 3x = by + -10y

Reorder the terms:
-1ax + -1by + 3x + 10y = by + -10y + -1by + 10y

Reorder the terms:
-1ax + -1by + 3x + 10y = by + -1by + -10y + 10y

Combine like terms: by + -1by = 0
-1ax + -1by + 3x + 10y = 0 + -10y + 10y
-1ax + -1by + 3x + 10y = -10y + 10y

Combine like terms: -10y + 10y = 0
-1ax + -1by + 3x + 10y = 0

The solution to this equation could not be determined.

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