Solve 55x-47y=10z

$$55x-47y=10z$$

Solve for x

$$x=\frac{2z}{11}+\frac{47y}{55}$$

Steps for Solving Linear Equation

Add 47y to both sides.

$$55x=10z+47y$$

The equation is in standard form.

$$55x=47y+10z$$

Divide both sides by 55.

$$\frac{55x}{55}=\frac{47y+10z}{55}$$

Dividing by 55 undoes the multiplication by 55.

$$x=\frac{47y+10z}{55}$$

Divide 10z+47y by 55.

$$x=\frac{2z}{11}+\frac{47y}{55}$$

Solve for y

$$y=\frac{55x-10z}{47}$$

Steps for Solving Linear Equation

Subtract 55x from both sides.

$$-47y=10z-55x$$

Divide both sides by -47.

$$\frac{-47y}{-47}=\frac{10z-55x}{-47}$$

Dividing by -47 undoes the multiplication by -47.

$$y=\frac{10z-55x}{-47}$$

Divide 10z-55x by -47.

$$y=\frac{55x-10z}{47}$$