Solve {l}{2x=4}{y=5x-2}{z=y}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 2 x = 4 }\\ { y = 5 x - 2 }\\ { z = y }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

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

$$c=8$$

Solution Steps

Consider the first equation. Divide both sides by 2.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$

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

$$y=5\times 2-2$$

Multiply 5 and 2 to get 10.

$$y=10-2$$

Subtract 2 from 10 to get 8.

$$y=8$$

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

$$z=8$$

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

$$a=8$$

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

$$b=8$$

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

$$c=8$$

The system is now solved.

$$x=2 y=8 z=8 a=8 b=8 c=8$$