Solve {l}{-y=8x^3-2x^2-7x+3}{x=0.604135}

$$\left. \begin{array}{l}{ - y = 8 x ^ { 3 } - 2 x ^ { 2 } - 7 x + 3 }\\{ x = 0.604135 }\end{array} \right.$$

Solve for y, x

$$x=0.604135$$

$$y=0.194930016400717$$

Solution Steps

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

$$-y=8\times 0.604135^{3}-2\times 0.604135^{2}-7\times 0.604135+3$$

Calculate 0.604135 to the power of 3 and get 0.220496647506160375.

$$-y=8\times 0.220496647506160375-2\times 0.604135^{2}-7\times 0.604135+3$$

Multiply 8 and 0.220496647506160375 to get 1.763973180049283.

$$-y=1.763973180049283-2\times 0.604135^{2}-7\times 0.604135+3$$

Calculate 0.604135 to the power of 2 and get 0.364979098225.

$$-y=1.763973180049283-2\times 0.364979098225-7\times 0.604135+3$$

Multiply -2 and 0.364979098225 to get -0.72995819645.

$$-y=1.763973180049283-0.72995819645-7\times 0.604135+3$$

Subtract 0.72995819645 from 1.763973180049283 to get 1.034014983599283.

$$-y=1.034014983599283-7\times 0.604135+3$$

Multiply -7 and 0.604135 to get -4.228945.

$$-y=1.034014983599283-4.228945+3$$

Subtract 4.228945 from 1.034014983599283 to get -3.194930016400717.

$$-y=-3.194930016400717+3$$

Add -3.194930016400717 and 3 to get -0.194930016400717.

$$-y=-0.194930016400717$$

Divide both sides by -1.

$$y=\frac{-0.194930016400717}{-1}$$

Expand \frac{-0.194930016400717}{-1} by multiplying both numerator and the denominator by 1000000000000000.

$$y=\frac{-194930016400717}{-1000000000000000}$$

Fraction \frac{-194930016400717}{-1000000000000000} can be simplified to \frac{194930016400717}{1000000000000000} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{194930016400717}{1000000000000000}$$

The system is now solved.

$$y=\frac{194930016400717}{1000000000000000} x=0.604135$$