Solve {l}{-y=8x^3-2x^2-7x+3}{x=0.713557}

$$\left. \begin{array}{l}{ - y = 8 x ^ { 3 } - 2 x ^ { 2 } - 7 x + 3 }\\{ x = 0.713557 }\end{array} \right.$$

Solve for y, x

$$x=0.713557$$

$$y=0.106688221342642456$$

Solution Steps

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

$$-y=8\times 0.713557^{3}-2\times 0.713557^{2}-7\times 0.713557+3$$

Calculate 0.713557 to the power of 3 and get 0.363317245394419693.

$$-y=8\times 0.363317245394419693-2\times 0.713557^{2}-7\times 0.713557+3$$

Multiply 8 and 0.363317245394419693 to get 2.906537963155357544.

$$-y=2.906537963155357544-2\times 0.713557^{2}-7\times 0.713557+3$$

Calculate 0.713557 to the power of 2 and get 0.509163592249.

$$-y=2.906537963155357544-2\times 0.509163592249-7\times 0.713557+3$$

Multiply -2 and 0.509163592249 to get -1.018327184498.

$$-y=2.906537963155357544-1.018327184498-7\times 0.713557+3$$

Subtract 1.018327184498 from 2.906537963155357544 to get 1.888210778657357544.

$$-y=1.888210778657357544-7\times 0.713557+3$$

Multiply -7 and 0.713557 to get -4.994899.

$$-y=1.888210778657357544-4.994899+3$$

Subtract 4.994899 from 1.888210778657357544 to get -3.106688221342642456.

$$-y=-3.106688221342642456+3$$

Add -3.106688221342642456 and 3 to get -0.106688221342642456.

$$-y=-0.106688221342642456$$

Divide both sides by -1.

$$y=\frac{-0.106688221342642456}{-1}$$

Expand \frac{-0.106688221342642456}{-1} by multiplying both numerator and the denominator by 1000000000000000000.

$$y=\frac{-106688221342642456}{-1000000000000000000}$$

Reduce the fraction \frac{-106688221342642456}{-1000000000000000000} to lowest terms by extracting and canceling out -8.

$$y=\frac{13336027667830307}{125000000000000000}$$

The system is now solved.

$$y=\frac{13336027667830307}{125000000000000000} x=0.713557$$