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

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

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

$$b=0$$

$$c=0$$

Solution Steps

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

$$x+1=1$$

Subtract 1 from both sides.

$$x=1-1$$

Subtract 1 from 1 to get 0.

$$x=0$$

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

$$z=5\times 0$$

Multiply 5 and 0 to get 0.

$$z=0$$

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.

$$c=0$$

The system is now solved.

$$x=0 y=1 z=0 a=0 b=0 c=0$$