Solve {l}{y=8x^3-2x^2-7x+3}{x=0.755307226}

$$\left. \begin{array}{l}{ y = 8 x ^ { 3 } - 2 x ^ { 2 } - 7 x + 3 }\\{ x = 0.755307226 }\end{array} \right.$$

Solve for y, x

$$x=0.755307226$$

$$y=0.019027153259166152116313408$$

Solution Steps

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

$$y=8\times 0.755307226^{3}-2\times 0.755307226^{2}-7\times 0.755307226+3$$

Calculate 0.755307226 to the power of 3 and get 0.430894468319349538014539176.

$$y=8\times 0.430894468319349538014539176-2\times 0.755307226^{2}-7\times 0.755307226+3$$

Multiply 8 and 0.430894468319349538014539176 to get 3.447155746554796304116313408.

$$y=3.447155746554796304116313408-2\times 0.755307226^{2}-7\times 0.755307226+3$$

Calculate 0.755307226 to the power of 2 and get 0.570489005647815076.

$$y=3.447155746554796304116313408-2\times 0.570489005647815076-7\times 0.755307226+3$$

Multiply -2 and 0.570489005647815076 to get -1.140978011295630152.

$$y=3.447155746554796304116313408-1.140978011295630152-7\times 0.755307226+3$$

Subtract 1.140978011295630152 from 3.447155746554796304116313408 to get 2.306177735259166152116313408.

$$y=2.306177735259166152116313408-7\times 0.755307226+3$$

Multiply -7 and 0.755307226 to get -5.287150582.

$$y=2.306177735259166152116313408-5.287150582+3$$

Subtract 5.287150582 from 2.306177735259166152116313408 to get -2.980972846740833847883686592.

$$y=-2.980972846740833847883686592+3$$

Add -2.980972846740833847883686592 and 3 to get 0.019027153259166152116313408.

$$y=0.019027153259166152116313408$$

The system is now solved.

$$y=0.019027153259166152116313408 x=0.755307226$$