Solve x^frac{5{3}}+y5/3=1000

$$x ^ { \frac { 5 } { 3 } } + y \frac { 5 } { 3 } = 1000$$

Solve for y

$$y=-\frac{3x^{\frac{5}{3}}}{5}+600$$

Steps for Solving Linear Equation

Subtract x^{\frac{5}{3}} from both sides.

$$y\times \frac{5}{3}=1000-x^{\frac{5}{3}}$$

The equation is in standard form.

$$\frac{5}{3}y=1000-x^{\frac{5}{3}}$$

Divide both sides of the equation by \frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{3}y}{\frac{5}{3}}=\frac{1000-x^{\frac{5}{3}}}{\frac{5}{3}}$$

Dividing by \frac{5}{3} undoes the multiplication by \frac{5}{3}.

$$y=\frac{1000-x^{\frac{5}{3}}}{\frac{5}{3}}$$

Divide 1000-x^{\frac{5}{3}} by \frac{5}{3} by multiplying 1000-x^{\frac{5}{3}} by the reciprocal of \frac{5}{3}.

$$y=-\frac{3x^{\frac{5}{3}}}{5}+600$$

Solve for x (complex solution)

$$x=\frac{125\left(600-y\right)^{3}}{27}$$

$$y=600\text{ or }arg(-\frac{5y}{3}+1000)<\frac{2\pi }{3}$$

Solve for x

$$x=\frac{3^{\frac{2}{5}}\left(3000-5y\right)^{\frac{3}{5}}}{3}$$