Solve cosy=0,036x+12.75dy

$$\cos y = 0,036 x + 12.75 d y$$

Solve for d

$$\left\{\begin{matrix}d=\frac{4\left(\cos(y)-36x\right)}{51y}\text{, }&y\neq 0\\d\in \mathrm{R}\text{, }&x=\frac{1}{36}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$36x+12.75dy=\cos(y)$$

Subtract 36x from both sides.

$$12.75dy=\cos(y)-36x$$

The equation is in standard form.

$$\frac{51y}{4}d=\cos(y)-36x$$

Divide both sides by 12.75y.

$$\frac{4\times \frac{51y}{4}d}{51y}=\frac{4\left(\cos(y)-36x\right)}{51y}$$

Dividing by 12.75y undoes the multiplication by 12.75y.

$$d=\frac{4\left(\cos(y)-36x\right)}{51y}$$

Solve for x

$$x=\frac{4\cos(y)-51dy}{144}$$

Steps for Solving Linear Equation

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

$$36x+12.75dy=\cos(y)$$

Subtract 12.75dy from both sides.

$$36x=\cos(y)-12.75dy$$

The equation is in standard form.

$$36x=\cos(y)-\frac{51dy}{4}$$

Divide both sides by 36.

$$\frac{36x}{36}=\frac{\cos(y)-\frac{51dy}{4}}{36}$$

Dividing by 36 undoes the multiplication by 36.

$$x=\frac{\cos(y)-\frac{51dy}{4}}{36}$$

Divide \cos(y)-\frac{51dy}{4} by 36.

$$x=\frac{4\cos(y)-51dy}{144}$$