Solve |69|=49625k1+575/12

$$| 69 | = 49625 k 1 + 575 / 12$$

Solve for k_1

$$k_{1}=\frac{253}{595500}\approx 0.000424853$$

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.

$$69=49625k_{1}+\frac{575}{12}$$

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

$$49625k_{1}+\frac{575}{12}=69$$

Subtract \frac{575}{12} from both sides.

$$49625k_{1}=69-\frac{575}{12}$$

Convert 69 to fraction \frac{828}{12}.

$$49625k_{1}=\frac{828}{12}-\frac{575}{12}$$

Since \frac{828}{12} and \frac{575}{12} have the same denominator, subtract them by subtracting their numerators.

$$49625k_{1}=\frac{828-575}{12}$$

Subtract 575 from 828 to get 253.

$$49625k_{1}=\frac{253}{12}$$

Divide both sides by 49625.

$$k_{1}=\frac{\frac{253}{12}}{49625}$$

Express \frac{\frac{253}{12}}{49625} as a single fraction.

$$k_{1}=\frac{253}{12\times 49625}$$

Multiply 12 and 49625 to get 595500.

$$k_{1}=\frac{253}{595500}$$