7x+4y=13x-y+15

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Solution for 7x+4y=13x-y+15 equation:


Simplifying
7x + 4y = 13x + -1y + 15

Reorder the terms:
7x + 4y = 15 + 13x + -1y

Solving
7x + 4y = 15 + 13x + -1y

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
7x + -13x + 4y = 15 + 13x + -13x + -1y

Combine like terms: 7x + -13x = -6x
-6x + 4y = 15 + 13x + -13x + -1y

Combine like terms: 13x + -13x = 0
-6x + 4y = 15 + 0 + -1y
-6x + 4y = 15 + -1y

Add '-4y' to each side of the equation.
-6x + 4y + -4y = 15 + -1y + -4y

Combine like terms: 4y + -4y = 0
-6x + 0 = 15 + -1y + -4y
-6x = 15 + -1y + -4y

Combine like terms: -1y + -4y = -5y
-6x = 15 + -5y

Divide each side by '-6'.
x = -2.5 + 0.8333333333y

Simplifying
x = -2.5 + 0.8333333333y

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