Solve 0.35x+0.85y=0.75(x+y)

$$0.35x+0.85y=0.75(x+y)$$

Solve for x

$$x=\frac{y}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.75 by x+y.

$$0.35x+0.85y=0.75x+0.75y$$

Subtract 0.75x from both sides.

$$0.35x+0.85y-0.75x=0.75y$$

Combine 0.35x and -0.75x to get -0.4x.

$$-0.4x+0.85y=0.75y$$

Subtract 0.85y from both sides.

$$-0.4x=0.75y-0.85y$$

Combine 0.75y and -0.85y to get -0.1y.

$$-0.4x=-0.1y$$

The equation is in standard form.

$$-0.4x=-\frac{y}{10}$$

Divide both sides of the equation by -0.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.4x}{-0.4}=-\frac{\frac{y}{10}}{-0.4}$$

Dividing by -0.4 undoes the multiplication by -0.4.

$$x=-\frac{\frac{y}{10}}{-0.4}$$

Divide -\frac{y}{10} by -0.4 by multiplying -\frac{y}{10} by the reciprocal of -0.4.

$$x=\frac{y}{4}$$

Solve for y

$$y=4x$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.75 by x+y.

$$0.35x+0.85y=0.75x+0.75y$$

Subtract 0.75y from both sides.

$$0.35x+0.85y-0.75y=0.75x$$

Combine 0.85y and -0.75y to get 0.1y.

$$0.35x+0.1y=0.75x$$

Subtract 0.35x from both sides.

$$0.1y=0.75x-0.35x$$

Combine 0.75x and -0.35x to get 0.4x.

$$0.1y=0.4x$$

The equation is in standard form.

$$0.1y=\frac{2x}{5}$$

Multiply both sides by 10.

$$\frac{0.1y}{0.1}=\frac{2x}{0.1\times 5}$$

Dividing by 0.1 undoes the multiplication by 0.1.

$$y=\frac{2x}{0.1\times 5}$$

Divide \frac{2x}{5} by 0.1 by multiplying \frac{2x}{5} by the reciprocal of 0.1.

$$y=4x$$