Solve 18.5x+10y+7.7z=d

$$18.5 x + 10 y + 7.7 z = d$$

Solve for x

$$x=\frac{2d}{37}-\frac{20y}{37}-\frac{77z}{185}$$

Steps for Solving Linear Equation

Subtract 10y from both sides.

$$18.5x+7.7z=d-10y$$

Subtract 7.7z from both sides.

$$18.5x=d-10y-7.7z$$

The equation is in standard form.

$$18.5x=-\frac{77z}{10}+d-10y$$

Divide both sides of the equation by 18.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{18.5x}{18.5}=\frac{-\frac{77z}{10}+d-10y}{18.5}$$

Dividing by 18.5 undoes the multiplication by 18.5.

$$x=\frac{-\frac{77z}{10}+d-10y}{18.5}$$

Divide d-10y-\frac{77z}{10} by 18.5 by multiplying d-10y-\frac{77z}{10} by the reciprocal of 18.5.

$$x=\frac{2d}{37}-\frac{20y}{37}-\frac{77z}{185}$$

Solve for d

$$d=\frac{37x}{2}+\frac{77z}{10}+10y$$

Solution Steps

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

$$d=18.5x+10y+7.7z$$