Solve x-1/36-1=y-36/42-36

$$\frac{ x-1 }{ 36-1 } = \frac{ y-36 }{ 42-36 }$$

Solve for x

$$x=\frac{35y}{6}-209$$

Steps for Solving Linear Equation

Subtract 1 from 36 to get 35.

$$\frac{x-1}{35}=\frac{y-36}{42-36}$$

Subtract 36 from 42 to get 6.

$$\frac{x-1}{35}=\frac{y-36}{6}$$

Divide each term of x-1 by 35 to get \frac{1}{35}x-\frac{1}{35}.

$$\frac{1}{35}x-\frac{1}{35}=\frac{y-36}{6}$$

Divide each term of y-36 by 6 to get \frac{1}{6}y-6.

$$\frac{1}{35}x-\frac{1}{35}=\frac{1}{6}y-6$$

Add \frac{1}{35} to both sides.

$$\frac{1}{35}x=\frac{1}{6}y-6+\frac{1}{35}$$

Add -6 and \frac{1}{35} to get -\frac{209}{35}.

$$\frac{1}{35}x=\frac{1}{6}y-\frac{209}{35}$$

The equation is in standard form.

$$\frac{1}{35}x=\frac{y}{6}-\frac{209}{35}$$

Multiply both sides by 35.

$$\frac{\frac{1}{35}x}{\frac{1}{35}}=\frac{\frac{y}{6}-\frac{209}{35}}{\frac{1}{35}}$$

Dividing by \frac{1}{35} undoes the multiplication by \frac{1}{35}.

$$x=\frac{\frac{y}{6}-\frac{209}{35}}{\frac{1}{35}}$$

Divide \frac{y}{6}-\frac{209}{35} by \frac{1}{35} by multiplying \frac{y}{6}-\frac{209}{35} by the reciprocal of \frac{1}{35}.

$$x=\frac{35y}{6}-209$$

Solve for y

$$y=\frac{6\left(x+209\right)}{35}$$

Steps for Solving Linear Equation

Subtract 1 from 36 to get 35.

$$\frac{x-1}{35}=\frac{y-36}{42-36}$$

Subtract 36 from 42 to get 6.

$$\frac{x-1}{35}=\frac{y-36}{6}$$

Divide each term of x-1 by 35 to get \frac{1}{35}x-\frac{1}{35}.

$$\frac{1}{35}x-\frac{1}{35}=\frac{y-36}{6}$$

Divide each term of y-36 by 6 to get \frac{1}{6}y-6.

$$\frac{1}{35}x-\frac{1}{35}=\frac{1}{6}y-6$$

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

$$\frac{1}{6}y-6=\frac{1}{35}x-\frac{1}{35}$$

Add 6 to both sides.

$$\frac{1}{6}y=\frac{1}{35}x-\frac{1}{35}+6$$

Add -\frac{1}{35} and 6 to get \frac{209}{35}.

$$\frac{1}{6}y=\frac{1}{35}x+\frac{209}{35}$$

The equation is in standard form.

$$\frac{1}{6}y=\frac{x+209}{35}$$

Multiply both sides by 6.

$$\frac{\frac{1}{6}y}{\frac{1}{6}}=\frac{x+209}{\frac{1}{6}\times 35}$$

Dividing by \frac{1}{6} undoes the multiplication by \frac{1}{6}.

$$y=\frac{x+209}{\frac{1}{6}\times 35}$$

Divide \frac{209+x}{35} by \frac{1}{6} by multiplying \frac{209+x}{35} by the reciprocal of \frac{1}{6}.

$$y=\frac{6x+1254}{35}$$