Solve 208(x-7)=108(150-y)

$$208 ( x - 7 ) = 108 ( 150 - y )$$

Solve for x

$$x=-\frac{27y}{52}+\frac{2207}{26}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 208 by x-7.

$$208x-1456=108\left(150-y\right)$$

Use the distributive property to multiply 108 by 150-y.

$$208x-1456=16200-108y$$

Add 1456 to both sides.

$$208x=16200-108y+1456$$

Add 16200 and 1456 to get 17656.

$$208x=17656-108y$$

Divide both sides by 208.

$$\frac{208x}{208}=\frac{17656-108y}{208}$$

Dividing by 208 undoes the multiplication by 208.

$$x=\frac{17656-108y}{208}$$

Divide 17656-108y by 208.

$$x=-\frac{27y}{52}+\frac{2207}{26}$$

Solve for y

$$y=\frac{4414-52x}{27}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 208 by x-7.

$$208x-1456=108\left(150-y\right)$$

Use the distributive property to multiply 108 by 150-y.

$$208x-1456=16200-108y$$

Swap sides so that all variable terms are on the left hand side.

$$16200-108y=208x-1456$$

Subtract 16200 from both sides.

$$-108y=208x-1456-16200$$

Subtract 16200 from -1456 to get -17656.

$$-108y=208x-17656$$

Divide both sides by -108.

$$\frac{-108y}{-108}=\frac{208x-17656}{-108}$$

Dividing by -108 undoes the multiplication by -108.

$$y=\frac{208x-17656}{-108}$$

Divide 208x-17656 by -108.

$$y=\frac{4414-52x}{27}$$