Solve 0.05x+0.08y=0.06(x+y

$$0.05 x + 0.08 y = 0.06 ( x + y$$

Solve for x

$$x=2y$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.06 by x+y.

$$0.05x+0.08y=0.06x+0.06y$$

Subtract 0.06x from both sides.

$$0.05x+0.08y-0.06x=0.06y$$

Combine 0.05x and -0.06x to get -0.01x.

$$-0.01x+0.08y=0.06y$$

Subtract 0.08y from both sides.

$$-0.01x=0.06y-0.08y$$

Combine 0.06y and -0.08y to get -0.02y.

$$-0.01x=-0.02y$$

The equation is in standard form.

$$-0.01x=-\frac{y}{50}$$

Multiply both sides by -100.

$$\frac{-0.01x}{-0.01}=-\frac{\frac{y}{50}}{-0.01}$$

Dividing by -0.01 undoes the multiplication by -0.01.

$$x=-\frac{\frac{y}{50}}{-0.01}$$

Divide -\frac{y}{50} by -0.01 by multiplying -\frac{y}{50} by the reciprocal of -0.01.

$$x=2y$$

Solve for y

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

Steps for Solving Linear Equation

Use the distributive property to multiply 0.06 by x+y.

$$0.05x+0.08y=0.06x+0.06y$$

Subtract 0.06y from both sides.

$$0.05x+0.08y-0.06y=0.06x$$

Combine 0.08y and -0.06y to get 0.02y.

$$0.05x+0.02y=0.06x$$

Subtract 0.05x from both sides.

$$0.02y=0.06x-0.05x$$

Combine 0.06x and -0.05x to get 0.01x.

$$0.02y=0.01x$$

The equation is in standard form.

$$0.02y=\frac{x}{100}$$

Multiply both sides by 50.

$$\frac{0.02y}{0.02}=\frac{x}{0.02\times 100}$$

Dividing by 0.02 undoes the multiplication by 0.02.

$$y=\frac{x}{0.02\times 100}$$

Divide \frac{x}{100} by 0.02 by multiplying \frac{x}{100} by the reciprocal of 0.02.

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