Solve {l}{x=2.5}{y=x^3-6.9x^2+15.87x-12.167}

$$\left\{ \begin{array} { l } { x = 2.5 } \\ { y = x ^ { 3 } - 6.9 x ^ { 2 } + 15.87 x - 12.167 } \end{array} \right.$$

Solve for x, y

$$x=2.5$$

$$y=0.008$$

Solution Steps

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

$$y=2.5^{3}-6.9\times 2.5^{2}+15.87\times 2.5-12.167$$

Calculate 2.5 to the power of 3 and get 15.625.

$$y=15.625-6.9\times 2.5^{2}+15.87\times 2.5-12.167$$

Calculate 2.5 to the power of 2 and get 6.25.

$$y=15.625-6.9\times 6.25+15.87\times 2.5-12.167$$

Multiply -6.9 and 6.25 to get -43.125.

$$y=15.625-43.125+15.87\times 2.5-12.167$$

Subtract 43.125 from 15.625 to get -27.5.

$$y=-27.5+15.87\times 2.5-12.167$$

Multiply 15.87 and 2.5 to get 39.675.

$$y=-27.5+39.675-12.167$$

Add -27.5 and 39.675 to get 12.175.

$$y=12.175-12.167$$

Subtract 12.167 from 12.175 to get 0.008.

$$y=0.008$$

The system is now solved.

$$x=2.5 y=0.008$$