Solve 6x+4y-370000=5x+2y-275000

$$6x+4y-370000 = 5x+2y-275000$$

Solve for x

$$x=95000-2y$$

Solution Steps

Subtract 5x from both sides.

$$6x+4y-370000-5x=2y-275000$$

Combine 6x and -5x to get x.

$$x+4y-370000=2y-275000$$

Subtract 4y from both sides.

$$x-370000=2y-275000-4y$$

Combine 2y and -4y to get -2y.

$$x-370000=-2y-275000$$

Add 370000 to both sides.

$$x=-2y-275000+370000$$

Add -275000 and 370000 to get 95000.

$$x=-2y+95000$$

Solve for y

$$y=-\frac{x}{2}+47500$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$6x+4y-370000-2y=5x-275000$$

Combine 4y and -2y to get 2y.

$$6x+2y-370000=5x-275000$$

Subtract 6x from both sides.

$$2y-370000=5x-275000-6x$$

Combine 5x and -6x to get -x.

$$2y-370000=-x-275000$$

Add 370000 to both sides.

$$2y=-x-275000+370000$$

Add -275000 and 370000 to get 95000.

$$2y=-x+95000$$

The equation is in standard form.

$$2y=95000-x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{95000-x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{95000-x}{2}$$

Divide -x+95000 by 2.

$$y=-\frac{x}{2}+47500$$