Solve {l}{-2x=0}{y=3x^2}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { -2 x = 0 }\\ { y = 3 x ^ {2} }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for x, y, z, a

$$a=0$$

Solution Steps

Consider the first equation. Divide both sides by -2. Zero divided by any non-zero number gives zero.

$$x=0$$

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

$$y=3\times 0^{2}$$

Calculate 0 to the power of 2 and get 0.

$$y=3\times 0$$

Multiply 3 and 0 to get 0.

$$y=0$$

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

$$z=0$$

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

$$a=0$$

The system is now solved.

$$x=0 y=0 z=0 a=0$$