Solve xcosy=10

$$x \cos y = 10$$

Solve for x

$$x=\frac{10}{\cos(y)}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }y=\pi n_{1}+\frac{\pi }{2}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\cos(y)x=10$$

Divide both sides by \cos(y).

$$\frac{\cos(y)x}{\cos(y)}=\frac{10}{\cos(y)}$$

Dividing by \cos(y) undoes the multiplication by \cos(y).

$$x=\frac{10}{\cos(y)}$$

Solve for y

$$y=-\arccos(\frac{10}{x})+2\pi n_{1}\text{, }n_{1}\in \mathrm{Z}$$

$$y=\arccos(\frac{10}{x})+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|x|\geq 10$$