Rewrite in Standard Form (-83)(x+y)=(37)(-83)

$(- 83) (x + y) = (37) (- 83)$

The standard form of a linear equation is $A x + B y = C$ .

Apply the distributive property.

$- 83 x - 83 y = (37) (- 83)$

Multiply $37$ by $- 83$ .

$- 83 x - 83 y = - 3071$

Rewrite the equation with the sides flipped.

$- 3071 = - 83 x - 83 y$

Move all terms containing variables to the left side of the equation.

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Add $83 x$ to both sides of the equation.

$- 3071 + 83 x = - 83 y$

Add $83 y$ to both sides of the equation.

$- 3071 + 83 x + 83 y = 0$

Move $- 3071$ .

$83 x + 83 y - 3071 = 0$

Add $3071$ to both sides of the equation.

$83 x + 83 y = 3071$

Rewrite in Standard Form (-83)(x+y)=(37)(-83)

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