(2x-3y)+(4x-y)=16

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Solution for (2x-3y)+(4x-y)=16 equation:


Simplifying
(2x + -3y) + (4x + -1y) = 16

Remove parenthesis around (2x + -3y)
2x + -3y + (4x + -1y) = 16

Remove parenthesis around (4x + -1y)
2x + -3y + 4x + -1y = 16

Reorder the terms:
2x + 4x + -3y + -1y = 16

Combine like terms: 2x + 4x = 6x
6x + -3y + -1y = 16

Combine like terms: -3y + -1y = -4y
6x + -4y = 16

Solving
6x + -4y = 16

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
6x + -4y + 4y = 16 + 4y

Combine like terms: -4y + 4y = 0
6x + 0 = 16 + 4y
6x = 16 + 4y

Divide each side by '6'.
x = 2.666666667 + 0.6666666667y

Simplifying
x = 2.666666667 + 0.6666666667y

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