Solve 2^x+5y=26

$${ 2 }^{ x } +5y = 26$$

Solve for y

$$y=\frac{26-2^{x}}{5}$$

Steps for Solving Linear Equation

Subtract 2^{x} from both sides.

$$5y=26-2^{x}$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{26-2^{x}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{26-2^{x}}{5}$$

Solve for x (complex solution)

$$x=\log_{2}\left(26-5y\right)+\frac{2i\pi n_{1}}{\ln(2)}$$

$$n_{1}\in \mathrm{Z}$$

$$y\neq \frac{26}{5}$$

Solve for x

$$x=\log_{2}\left(26-5y\right)$$

$$y<\frac{26}{5}$$