Solve {l}{2a=b}{3b=c}{4c=d}{a=1/20}

$$\left. \begin{array} { l } { 2 a = b } \\ { 3 b = c } \\ { 4 c = d } \\ { a = \frac { 1 } { 20 } } \end{array} \right.$$

Solve for a, b, c, d

$$a=\frac{1}{20}=0.05$$

$$b=\frac{1}{10}=0.1$$

$$c=\frac{3}{10}=0.3$$

$$d = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Solution Steps

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

$$2\times \frac{1}{20}=b$$

Multiply 2 and \frac{1}{20} to get \frac{1}{10}.

$$\frac{1}{10}=b$$

Swap sides so that all variable terms are on the left hand side.

$$b=\frac{1}{10}$$

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

$$3\times \frac{1}{10}=c$$

Multiply 3 and \frac{1}{10} to get \frac{3}{10}.

$$\frac{3}{10}=c$$

Swap sides so that all variable terms are on the left hand side.

$$c=\frac{3}{10}$$

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

$$4\times \frac{3}{10}=d$$

Multiply 4 and \frac{3}{10} to get \frac{6}{5}.

$$\frac{6}{5}=d$$

Swap sides so that all variable terms are on the left hand side.

$$d=\frac{6}{5}$$

The system is now solved.

$$a=\frac{1}{20} b=\frac{1}{10} c=\frac{3}{10} d=\frac{6}{5}$$