Solve 70*10^-3=0.045/90+0.045/U

$$70 \times 10 ^ { - 3 } = \frac { 0.045 } { 90 } + \frac { 0.045 } { U }$$

Solve for U

$$U=\frac{90}{139}\approx 0.647482014$$

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 90U, the least common multiple of 90,U.

$$70\times 10^{-3}\times 90U=U\times 0.045+90\times 0.045$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$70\times \frac{1}{1000}\times 90U=U\times 0.045+90\times 0.045$$

Multiply 70 and \frac{1}{1000} to get \frac{7}{100}.

$$\frac{7}{100}\times 90U=U\times 0.045+90\times 0.045$$

Multiply \frac{7}{100} and 90 to get \frac{63}{10}.

$$\frac{63}{10}U=U\times 0.045+90\times 0.045$$

Multiply 90 and 0.045 to get 4.05.

$$\frac{63}{10}U=U\times 0.045+4.05$$

Subtract U\times 0.045 from both sides.

$$\frac{63}{10}U-U\times 0.045=4.05$$

Combine \frac{63}{10}U and -U\times 0.045 to get \frac{1251}{200}U.

$$\frac{1251}{200}U=4.05$$

Multiply both sides by \frac{200}{1251}, the reciprocal of \frac{1251}{200}.

$$U=4.05\times \frac{200}{1251}$$

Multiply 4.05 and \frac{200}{1251} to get \frac{90}{139}.

$$U=\frac{90}{139}$$