Solve 3x+2^y=100

$$3 x + 2 ^ { y } = 100$$

Solve for x

$$x=\frac{100-2^{y}}{3}$$

Steps for Solving Linear Equation

Subtract 2^{y} from both sides.

$$3x=100-2^{y}$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{100-2^{y}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{100-2^{y}}{3}$$

Solve for y (complex solution)

$$y=\log_{2}\left(100-3x\right)+\frac{2i\pi n_{1}}{\ln(2)}$$

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

$$x\neq \frac{100}{3}$$

Solve for y

$$y=\log_{2}\left(100-3x\right)$$

$$x<\frac{100}{3}$$