Solve {l}{x=2*5}{y=x^3-6*9x^2+15*87x-12*167}

$$\left\{ \begin{array} { l } { x = 2 \cdot 5 } \\ { y = x ^ { 3 } - 6 \cdot 9 x ^ { 2 } + 15 \cdot 87 x - 12 \cdot 167 } \end{array} \right.$$

Solve for x, y

$$x=10$$

$$y=6646$$

Solution Steps

Consider the first equation. Multiply 2 and 5 to get 10.

$$x=10$$

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

$$y=10^{3}-6\times 9\times 10^{2}+15\times 87\times 10-12\times 167$$

Calculate 10 to the power of 3 and get 1000.

$$y=1000-6\times 9\times 10^{2}+15\times 87\times 10-12\times 167$$

Multiply 6 and 9 to get 54.

$$y=1000-54\times 10^{2}+15\times 87\times 10-12\times 167$$

Calculate 10 to the power of 2 and get 100.

$$y=1000-54\times 100+15\times 87\times 10-12\times 167$$

Multiply 54 and 100 to get 5400.

$$y=1000-5400+15\times 87\times 10-12\times 167$$

Subtract 5400 from 1000 to get -4400.

$$y=-4400+15\times 87\times 10-12\times 167$$

Multiply 15 and 87 to get 1305.

$$y=-4400+1305\times 10-12\times 167$$

Multiply 1305 and 10 to get 13050.

$$y=-4400+13050-12\times 167$$

Add -4400 and 13050 to get 8650.

$$y=8650-12\times 167$$

Multiply 12 and 167 to get 2004.

$$y=8650-2004$$

Subtract 2004 from 8650 to get 6646.

$$y=6646$$

The system is now solved.

$$x=10 y=6646$$