Solve frac{U_{1}}{U}=227V/230V

$$\frac { U _ { 1 } } { U } = \frac { 227 V } { 230 V }$$

Solve for U

$$U=\frac{230U_{1}}{227}$$

$$U_{1}\neq 0\text{ and }V\neq 0$$

Steps for Solving Linear Equation

Variable U cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 230UV, the least common multiple of U,230V.

$$230VU_{1}=U\times 227V$$

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

$$U\times 227V=230VU_{1}$$

The equation is in standard form.

$$227VU=230U_{1}V$$

Divide both sides by 227V.

$$\frac{227VU}{227V}=\frac{230U_{1}V}{227V}$$

Dividing by 227V undoes the multiplication by 227V.

$$U=\frac{230U_{1}V}{227V}$$

Divide 230VU_{1} by 227V.

$$U=\frac{230U_{1}}{227}$$

Variable U cannot be equal to 0.

$$U=\frac{230U_{1}}{227}\text{, }U\neq 0$$

Solve for U_1

$$U_{1}=\frac{227U}{230}$$

$$U\neq 0\text{ and }V\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 230UV, the least common multiple of U,230V.

$$230VU_{1}=U\times 227V$$

Reorder the terms.

$$230U_{1}V=227UV$$

The equation is in standard form.

$$230VU_{1}=227UV$$

Divide both sides by 230V.

$$\frac{230VU_{1}}{230V}=\frac{227UV}{230V}$$

Dividing by 230V undoes the multiplication by 230V.

$$U_{1}=\frac{227UV}{230V}$$

Divide 227UV by 230V.

$$U_{1}=\frac{227U}{230}$$