Solve 2x+y^5=5

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

Solve for x

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

Steps for Solving Linear Equation

Subtract y^{5} from both sides.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Solve for y (complex solution)

$$y=e^{\frac{2i\pi }{5}}\sqrt[5]{5-2x}$$

$$y=\sqrt[5]{5-2x}$$

$$y=e^{\frac{4i\pi }{5}}\sqrt[5]{5-2x}$$

$$y=e^{\frac{6i\pi }{5}}\sqrt[5]{5-2x}$$

$$y=e^{\frac{8i\pi }{5}}\sqrt[5]{5-2x}$$

Solve for y

$$y=\sqrt[5]{5-2x}$$