Solve x-4/tan(36)=y

$$\frac{ x-4 }{ \tan ( 36 ) } = y$$

Solve for x

$$x=\frac{908178160006701y}{1250000000000000}+4$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{x - 4}{0.7265425280053608} = y$$

Divide each term of x-4 by 0.7265425280053608 to get \frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}.

$$\frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}=y$$

Expand \frac{-4}{0.7265425280053608} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{x}{0.7265425280053608}+\frac{-40000000000000000}{7265425280053608}=y$$

Reduce the fraction \frac{-40000000000000000}{7265425280053608} to lowest terms by extracting and canceling out 8.

$$\frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}=y$$

Add \frac{5000000000000000}{908178160006701} to both sides.

$$\frac{x}{0.7265425280053608}=y+\frac{5000000000000000}{908178160006701}$$

The equation is in standard form.

$$\frac{1250000000000000}{908178160006701}x=y+\frac{5000000000000000}{908178160006701}$$

Divide both sides of the equation by \frac{1250000000000000}{908178160006701}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{1250000000000000}{908178160006701}x}{\frac{1250000000000000}{908178160006701}}=\frac{y+\frac{5000000000000000}{908178160006701}}{\frac{1250000000000000}{908178160006701}}$$

Dividing by \frac{1250000000000000}{908178160006701} undoes the multiplication by \frac{1250000000000000}{908178160006701}.

$$x=\frac{y+\frac{5000000000000000}{908178160006701}}{\frac{1250000000000000}{908178160006701}}$$

Divide y+\frac{5000000000000000}{908178160006701} by \frac{1250000000000000}{908178160006701} by multiplying y+\frac{5000000000000000}{908178160006701} by the reciprocal of \frac{1250000000000000}{908178160006701}.

$$x=\frac{908178160006701y}{1250000000000000}+4$$

Solve for y

$$y=\frac{1250000000000000\left(x-4\right)}{908178160006701}$$