Solve y=0.8x+30+0.2x/0.4

$$y = 0.8 x + \frac { 30 + 0.2 x } { 0.4 }$$

Solve for x

$$x=\frac{10\left(y-75\right)}{13}$$

Steps for Solving Linear Equation

Divide each term of 30+0.2x by 0.4 to get \frac{30}{0.4}+\frac{0.2x}{0.4}.

$$y=0.8x+\frac{30}{0.4}+\frac{0.2x}{0.4}$$

Expand \frac{30}{0.4} by multiplying both numerator and the denominator by 10.

$$y=0.8x+\frac{300}{4}+\frac{0.2x}{0.4}$$

Divide 300 by 4 to get 75.

$$y=0.8x+75+\frac{0.2x}{0.4}$$

Divide 0.2x by 0.4 to get 0.5x.

$$y=0.8x+75+0.5x$$

Combine 0.8x and 0.5x to get 1.3x.

$$y=1.3x+75$$

Swap sides so that all variable terms are on the left hand side.

$$1.3x+75=y$$

Subtract 75 from both sides.

$$1.3x=y-75$$

Divide both sides of the equation by 1.3, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.3x}{1.3}=\frac{y-75}{1.3}$$

Dividing by 1.3 undoes the multiplication by 1.3.

$$x=\frac{y-75}{1.3}$$

Divide y-75 by 1.3 by multiplying y-75 by the reciprocal of 1.3.

$$x=\frac{10y-750}{13}$$

Solve for y

$$y=\frac{13x}{10}+75$$

Solution Steps

Divide each term of 30+0.2x by 0.4 to get \frac{30}{0.4}+\frac{0.2x}{0.4}.

$$y=0.8x+\frac{30}{0.4}+\frac{0.2x}{0.4}$$

Expand \frac{30}{0.4} by multiplying both numerator and the denominator by 10.

$$y=0.8x+\frac{300}{4}+\frac{0.2x}{0.4}$$

Divide 300 by 4 to get 75.

$$y=0.8x+75+\frac{0.2x}{0.4}$$

Divide 0.2x by 0.4 to get 0.5x.

$$y=0.8x+75+0.5x$$

Combine 0.8x and 0.5x to get 1.3x.

$$y=1.3x+75$$