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

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

Solve for x

$$x=95000-3y$$

Solution Steps

Subtract 5x from both sides.

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

Combine 6x and -5x to get x.

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

Subtract 4y from both sides.

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

Combine y and -4y to get -3y.

$$x-370000=-3y-275000$$

Add 370000 to both sides.

$$x=-3y-275000+370000$$

Add -275000 and 370000 to get 95000.

$$x=-3y+95000$$

Solve for y

$$y=\frac{95000-x}{3}$$

Steps for Solving Linear Equation

Subtract y from both sides.

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

Combine 4y and -y to get 3y.

$$6x+3y-370000=5x-275000$$

Subtract 6x from both sides.

$$3y-370000=5x-275000-6x$$

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

$$3y-370000=-x-275000$$

Add 370000 to both sides.

$$3y=-x-275000+370000$$

Add -275000 and 370000 to get 95000.

$$3y=-x+95000$$

The equation is in standard form.

$$3y=95000-x$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{95000-x}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{95000-x}{3}$$