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

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

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

$$c=10$$

Solution Steps

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

$$y=\frac{5}{\frac{1}{2}}$$

Divide 5 by \frac{1}{2} by multiplying 5 by the reciprocal of \frac{1}{2}.

$$y=5\times 2$$

Multiply 5 and 2 to get 10.

$$y=10$$

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

$$z=10$$

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

$$a=10$$

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

$$b=10$$

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

$$c=10$$

The system is now solved.

$$x=\frac{1}{2} y=10 z=10 a=10 b=10 c=10$$