Solve 19x^4=5y

$$19 x ^ { 4 } = 5 y$$

Solve for y

$$y=\frac{19x^{4}}{5}$$

Steps for Solving Linear Equation

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

$$5y=19x^{4}$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{19x^{4}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{19x^{4}}{5}$$

Solve for x (complex solution)

$$x=\frac{19^{\frac{3}{4}}i\sqrt[4]{5y}}{19}$$

$$x=\frac{19^{\frac{3}{4}}\sqrt[4]{5y}}{19}$$

$$x=-\frac{19^{\frac{3}{4}}\sqrt[4]{5y}}{19}$$

$$x=-\frac{19^{\frac{3}{4}}i\sqrt[4]{5y}}{19}$$

Solve for x

$$x=\frac{\sqrt[4]{34295y}}{19}$$

$$x=-\frac{\sqrt[4]{34295y}}{19}\text{, }y\geq 0$$