Solve |69|=49.625k1+5.75/12

$$| 69 | = 49.625 k 1 + 5.75 / 12$$

Solve for k_1

$$k_{1} = \frac{3289}{2382} = 1\frac{907}{2382} \approx 1.38077246$$

Steps for Solving Linear Equation

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 69 is 69.

$$69=49.625k_{1}+\frac{5.75}{12}$$

Expand \frac{5.75}{12} by multiplying both numerator and the denominator by 100.

$$69=49.625k_{1}+\frac{575}{1200}$$

Reduce the fraction \frac{575}{1200} to lowest terms by extracting and canceling out 25.

$$69=49.625k_{1}+\frac{23}{48}$$

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

$$49.625k_{1}+\frac{23}{48}=69$$

Subtract \frac{23}{48} from both sides.

$$49.625k_{1}=69-\frac{23}{48}$$

Convert 69 to fraction \frac{3312}{48}.

$$49.625k_{1}=\frac{3312}{48}-\frac{23}{48}$$

Since \frac{3312}{48} and \frac{23}{48} have the same denominator, subtract them by subtracting their numerators.

$$49.625k_{1}=\frac{3312-23}{48}$$

Subtract 23 from 3312 to get 3289.

$$49.625k_{1}=\frac{3289}{48}$$

Divide both sides by 49.625.

$$k_{1}=\frac{\frac{3289}{48}}{49.625}$$

Express \frac{\frac{3289}{48}}{49.625} as a single fraction.

$$k_{1}=\frac{3289}{48\times 49.625}$$

Multiply 48 and 49.625 to get 2382.

$$k_{1}=\frac{3289}{2382}$$