Solve {l}{5x=2y}{y=1}{z=x}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { 5 x = 2 y }\\ { y = 1 }\\ { z = x }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

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

$$d=\frac{2}{5}=0.4$$

Solution Steps

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

$$5x=2\times 1$$

Multiply 2 and 1 to get 2.

$$5x=2$$

Divide both sides by 5.

$$x=\frac{2}{5}$$

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

$$z=\frac{2}{5}$$

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

$$a=\frac{2}{5}$$

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

$$b=\frac{2}{5}$$

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

$$c=\frac{2}{5}$$

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

$$d=\frac{2}{5}$$

The system is now solved.

$$x=\frac{2}{5} y=1 z=\frac{2}{5} a=\frac{2}{5} b=\frac{2}{5} c=\frac{2}{5} d=\frac{2}{5}$$