Solve {l}{1/2x=87}{text{Solvefor}ytext{where}}{y=x^2*3x^2}

$$\left. \begin{array} { l } { \frac{1}{2} x = 87 }\\ { \text{Solve for } y \text{ where} } \\ { y = x ^ {2} \cdot 3 x ^ {2} } \end{array} \right.$$

Solve for x, y

$$y=2749908528$$

Solution Steps

Consider the first equation. Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=87\times 2$$

Multiply 87 and 2 to get 174.

$$x=174$$

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

$$y=174^{2}\times 3\times 174^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$y=174^{4}\times 3$$

Calculate 174 to the power of 4 and get 916636176.

$$y=916636176\times 3$$

Multiply 916636176 and 3 to get 2749908528.

$$y=2749908528$$

The system is now solved.

$$x=174 y=2749908528$$