Solve y-44=1/5x/51

$$y-44= \frac{ \frac{ 1 }{ 5 } x }{ 51 }$$

Solve for x

$$x=255\left(y-44\right)$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 51.

$$51y-2244=\frac{1}{5}x$$

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

$$\frac{1}{5}x=51y-2244$$

Multiply both sides by 5.

$$\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{51y-2244}{\frac{1}{5}}$$

Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.

$$x=\frac{51y-2244}{\frac{1}{5}}$$

Divide -2244+51y by \frac{1}{5} by multiplying -2244+51y by the reciprocal of \frac{1}{5}.

$$x=255y-11220$$

Solve for y

$$y=\frac{x+11220}{255}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 51.

$$51y-2244=\frac{1}{5}x$$

Add 2244 to both sides.

$$51y=\frac{1}{5}x+2244$$

The equation is in standard form.

$$51y=\frac{x}{5}+2244$$

Divide both sides by 51.

$$\frac{51y}{51}=\frac{\frac{x}{5}+2244}{51}$$

Dividing by 51 undoes the multiplication by 51.

$$y=\frac{\frac{x}{5}+2244}{51}$$

Divide \frac{x}{5}+2244 by 51.

$$y=\frac{x}{255}+44$$