Solve {l}{-2x=57}{text{Solvefor}ytext{where}}{y=3/5x^6}

$$\left. \begin{array} { l } { -2 x = 57 }\\ { \text{Solve for } y \text{ where} } \\ { y = \frac{3}{5} x ^ {6} } \end{array} \right.$$

Solve for x, y

$$y = \frac{102889341747}{320} = 321529192\frac{307}{320} = 321529192.959375$$

Solution Steps

Consider the first equation. Divide both sides by -2.

$$x=-\frac{57}{2}$$

Consider the second equation. Insert the known values of variables into the equation.

$$y=\frac{3}{5}\left(-\frac{57}{2}\right)^{6}$$

Calculate -\frac{57}{2} to the power of 6 and get \frac{34296447249}{64}.

$$y=\frac{3}{5}\times \frac{34296447249}{64}$$

Multiply \frac{3}{5} and \frac{34296447249}{64} to get \frac{102889341747}{320}.

$$y=\frac{102889341747}{320}$$

The system is now solved.

$$x=-\frac{57}{2} y=\frac{102889341747}{320}$$