Solve {l}{y=8x^3-2x^2-7x+3}{x=0.604118}

$$\left. \begin{array} { l } { y = 8 x ^ { 3 } - 2 x ^ { 2 } - 7 x + 3 } \\ { x = 0.604118 } \end{array} \right.$$

Solve for y, x

$$x=0.604118$$

$$y=-0.194918843080551744$$

Solution Steps

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

$$y=8\times 0.604118^{3}-2\times 0.604118^{2}-7\times 0.604118+3$$

Calculate 0.604118 to the power of 3 and get 0.220478034095931032.

$$y=8\times 0.220478034095931032-2\times 0.604118^{2}-7\times 0.604118+3$$

Multiply 8 and 0.220478034095931032 to get 1.763824272767448256.

$$y=1.763824272767448256-2\times 0.604118^{2}-7\times 0.604118+3$$

Calculate 0.604118 to the power of 2 and get 0.364958557924.

$$y=1.763824272767448256-2\times 0.364958557924-7\times 0.604118+3$$

Multiply -2 and 0.364958557924 to get -0.729917115848.

$$y=1.763824272767448256-0.729917115848-7\times 0.604118+3$$

Subtract 0.729917115848 from 1.763824272767448256 to get 1.033907156919448256.

$$y=1.033907156919448256-7\times 0.604118+3$$

Multiply -7 and 0.604118 to get -4.228826.

$$y=1.033907156919448256-4.228826+3$$

Subtract 4.228826 from 1.033907156919448256 to get -3.194918843080551744.

$$y=-3.194918843080551744+3$$

Add -3.194918843080551744 and 3 to get -0.194918843080551744.

$$y=-0.194918843080551744$$

The system is now solved.

$$y=-0.194918843080551744 x=0.604118$$