Solve 75x-45y=12257+25x

$$75x-45y=12257+25x$$

Solve for x

$$x=\frac{9y}{10}+\frac{12257}{50}$$

Steps for Solving Linear Equation

Subtract 25x from both sides.

$$75x-45y-25x=12257$$

Combine 75x and -25x to get 50x.

$$50x-45y=12257$$

Add 45y to both sides.

$$50x=12257+45y$$

The equation is in standard form.

$$50x=45y+12257$$

Divide both sides by 50.

$$\frac{50x}{50}=\frac{45y+12257}{50}$$

Dividing by 50 undoes the multiplication by 50.

$$x=\frac{45y+12257}{50}$$

Divide 12257+45y by 50.

$$x=\frac{9y}{10}+\frac{12257}{50}$$

Solve for y

$$y=\frac{10x}{9}-\frac{12257}{45}$$

Steps for Solving Linear Equation

Subtract 75x from both sides.

$$-45y=12257+25x-75x$$

Combine 25x and -75x to get -50x.

$$-45y=12257-50x$$

Divide both sides by -45.

$$\frac{-45y}{-45}=\frac{12257-50x}{-45}$$

Dividing by -45 undoes the multiplication by -45.

$$y=\frac{12257-50x}{-45}$$

Divide 12257-50x by -45.

$$y=\frac{10x}{9}-\frac{12257}{45}$$