Solve {l}{2b=a}{3a=c}{b=c}

$$\left. \begin{array} { l } { 2 b = a } \\ { 3 a = c } \\ { b = c } \end{array} \right.$$

Solve for b, a, c

$$b=0$$

$$a=0$$

$$c=0$$

Short Steps Using Substitution

Solve 2b=a for a.

$$a=2b$$

Substitute 2b for a in the equation 3a=c.

$$3\times 2b=c$$

Solve the second equation for b and the third equation for c.

$$b=\frac{1}{6}c c=b$$

Substitute \frac{1}{6}c for b in the equation c=b.

$$c=\frac{1}{6}c$$

Solve c=\frac{1}{6}c for c.

$$c=0$$

Substitute 0 for c in the equation b=\frac{1}{6}c.

$$b=\frac{1}{6}\times 0$$

Calculate b from b=\frac{1}{6}\times 0.

$$b=0$$

Substitute 0 for b in the equation a=2b.

$$a=2\times 0$$

Calculate a from a=2\times 0.

$$a=0$$

The system is now solved.

$$b=0 a=0 c=0$$