Solve 50x+40y=50x+1x+40*0.85y

$$50 x + 40 y = 50 x + 1 x + 40 \times 0.85 y$$

Solve for x

$$x=6y$$

Steps for Solving Linear Equation

Combine 50x and 1x to get 51x.

$$50x+40y=51x+40\times 0.85y$$

Multiply 40 and 0.85 to get 34.

$$50x+40y=51x+34y$$

Subtract 51x from both sides.

$$50x+40y-51x=34y$$

Combine 50x and -51x to get -x.

$$-x+40y=34y$$

Subtract 40y from both sides.

$$-x=34y-40y$$

Combine 34y and -40y to get -6y.

$$-x=-6y$$

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide -6y by -1.

$$x=6y$$

Solve for y

$$y=\frac{x}{6}$$

Steps for Solving Linear Equation

Combine 50x and 1x to get 51x.

$$50x+40y=51x+40\times 0.85y$$

Multiply 40 and 0.85 to get 34.

$$50x+40y=51x+34y$$

Subtract 34y from both sides.

$$50x+40y-34y=51x$$

Combine 40y and -34y to get 6y.

$$50x+6y=51x$$

Subtract 50x from both sides.

$$6y=51x-50x$$

Combine 51x and -50x to get x.

$$6y=x$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{x}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{x}{6}$$