Solve 50x+40y=50*1.1x+40*0.85y

$$50x+40y = 50 \times 1.1x+40 \cdot 0.85y$$

Solve for x

$$x=\frac{6y}{5}$$

Steps for Solving Linear Equation

Multiply 50 and 1.1 to get 55.

$$50x+40y=55x+40\times 0.85y$$

Multiply 40 and 0.85 to get 34.

$$50x+40y=55x+34y$$

Subtract 55x from both sides.

$$50x+40y-55x=34y$$

Combine 50x and -55x to get -5x.

$$-5x+40y=34y$$

Subtract 40y from both sides.

$$-5x=34y-40y$$

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

$$-5x=-6y$$

Divide both sides by -5.

$$\frac{-5x}{-5}=-\frac{6y}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=-\frac{6y}{-5}$$

Divide -6y by -5.

$$x=\frac{6y}{5}$$

Solve for y

$$y=\frac{5x}{6}$$

Steps for Solving Linear Equation

Multiply 50 and 1.1 to get 55.

$$50x+40y=55x+40\times 0.85y$$

Multiply 40 and 0.85 to get 34.

$$50x+40y=55x+34y$$

Subtract 34y from both sides.

$$50x+40y-34y=55x$$

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

$$50x+6y=55x$$

Subtract 50x from both sides.

$$6y=55x-50x$$

Combine 55x and -50x to get 5x.

$$6y=5x$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{5x}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{5x}{6}$$