3x+y=7x-2y

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Solution for 3x+y=7x-2y equation:


Simplifying
3x + y = 7x + -2y

Solving
3x + y = 7x + -2y

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3x + -7x + y = 7x + -7x + -2y

Combine like terms: 3x + -7x = -4x
-4x + y = 7x + -7x + -2y

Combine like terms: 7x + -7x = 0
-4x + y = 0 + -2y
-4x + y = -2y

Add '-1y' to each side of the equation.
-4x + y + -1y = -2y + -1y

Combine like terms: y + -1y = 0
-4x + 0 = -2y + -1y
-4x = -2y + -1y

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

Divide each side by '-4'.
x = 0.75y

Simplifying
x = 0.75y

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