Solve {l}{x=3x}{y=x}{z=y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { x = 3 x }\\ { y = x }\\ { z = y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for x, y, z, a, b, c, d

$$d=0$$

Solution Steps

Consider the first equation. Subtract 3x from both sides.

$$x-3x=0$$

Combine x and -3x to get -2x.

$$-2x=0$$

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.

$$y=0$$

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.

$$a=0$$

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

$$b=0$$

Consider the equation (6). Insert the known values of variables into the equation.

$$c=0$$

Consider the equation (7). Insert the known values of variables into the equation.

$$d=0$$

The system is now solved.

$$x=0 y=0 z=0 a=0 b=0 c=0 d=0$$