Solve -16.4x+4y+7.1z=d

$$- 16.4 x + 4 y + 7.1 z = d$$

Solve for x

$$x=\frac{10y}{41}+\frac{71z}{164}-\frac{5d}{82}$$

Steps for Solving Linear Equation

Subtract 4y from both sides.

$$-16.4x+7.1z=d-4y$$

Subtract 7.1z from both sides.

$$-16.4x=d-4y-7.1z$$

The equation is in standard form.

$$-16.4x=-\frac{71z}{10}+d-4y$$

Divide both sides of the equation by -16.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-16.4x}{-16.4}=\frac{-\frac{71z}{10}+d-4y}{-16.4}$$

Dividing by -16.4 undoes the multiplication by -16.4.

$$x=\frac{-\frac{71z}{10}+d-4y}{-16.4}$$

Divide d-4y-\frac{71z}{10} by -16.4 by multiplying d-4y-\frac{71z}{10} by the reciprocal of -16.4.

$$x=\frac{10y}{41}+\frac{71z}{164}-\frac{5d}{82}$$

Solve for d

$$d=\frac{71z}{10}-\frac{82x}{5}+4y$$

Solution Steps

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

$$d=-16.4x+4y+7.1z$$