Solve 641=49.625k1+5.75/72

$$641 = 49.625 k 1 + 5.75 / 72$$

Solve for k_1

$$k_{1} = \frac{184585}{14292} = 12\frac{13081}{14292} \approx 12.915267282$$

Steps for Solving Linear Equation

Expand \frac{5.75}{72} by multiplying both numerator and the denominator by 100.

$$641=49.625k_{1}+\frac{575}{7200}$$

Reduce the fraction \frac{575}{7200} to lowest terms by extracting and canceling out 25.

$$641=49.625k_{1}+\frac{23}{288}$$

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

$$49.625k_{1}+\frac{23}{288}=641$$

Subtract \frac{23}{288} from both sides.

$$49.625k_{1}=641-\frac{23}{288}$$

Convert 641 to fraction \frac{184608}{288}.

$$49.625k_{1}=\frac{184608}{288}-\frac{23}{288}$$

Since \frac{184608}{288} and \frac{23}{288} have the same denominator, subtract them by subtracting their numerators.

$$49.625k_{1}=\frac{184608-23}{288}$$

Subtract 23 from 184608 to get 184585.

$$49.625k_{1}=\frac{184585}{288}$$

Divide both sides by 49.625.

$$k_{1}=\frac{\frac{184585}{288}}{49.625}$$

Express \frac{\frac{184585}{288}}{49.625} as a single fraction.

$$k_{1}=\frac{184585}{288\times 49.625}$$

Multiply 288 and 49.625 to get 14292.

$$k_{1}=\frac{184585}{14292}$$