Solve 3/5=k+17/9

$$\frac { 3 } { 5 } = \frac { k + 17 } { 9 }$$

Solve for k

$$k = -\frac{58}{5} = -11\frac{3}{5} = -11.6$$

Steps for Solving Linear Equation

Multiply both sides by 9.

$$\frac{3}{5}\times 9=k+17$$

Express \frac{3}{5}\times 9 as a single fraction.

$$\frac{3\times 9}{5}=k+17$$

Multiply 3 and 9 to get 27.

$$\frac{27}{5}=k+17$$

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

$$k+17=\frac{27}{5}$$

Subtract 17 from both sides.

$$k=\frac{27}{5}-17$$

Convert 17 to fraction \frac{85}{5}.

$$k=\frac{27}{5}-\frac{85}{5}$$

Since \frac{27}{5} and \frac{85}{5} have the same denominator, subtract them by subtracting their numerators.

$$k=\frac{27-85}{5}$$

Subtract 85 from 27 to get -58.

$$k=-\frac{58}{5}$$