Solve {l}{0.05x=0.03y}{0.2x=0.0025x}

$$\left. \begin{array} { l } { 0.05 x = 0.03 y } \\ { 0.2 x = 0.0025 x } \end{array} \right.$$

Solve for x, y

$$x=0$$

$$y=0$$

Solution Steps

Consider the second equation. Subtract 0.0025x from both sides.

$$0.2x-0.0025x=0$$

Combine 0.2x and -0.0025x to get 0.1975x.

$$0.1975x=0$$

Divide both sides by 0.1975. Zero divided by any non-zero number gives zero.

$$x=0$$

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

$$0.05\times 0=0.03y$$

Multiply 0.05 and 0 to get 0.

$$0=0.03y$$

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

$$0.03y=0$$

Divide both sides by 0.03. Zero divided by any non-zero number gives zero.

$$y=0$$

The system is now solved.

$$x=0 y=0$$