Solve 3/4=45-5k/16

$$\frac{ 3 }{ 4 } = \frac{ 45-5k }{ 16 }$$

Solve for k

$$k = \frac{33}{5} = 6\frac{3}{5} = 6.6$$

Steps for Solving Linear Equation

Multiply both sides by 16.

$$\frac{3}{4}\times 16=45-5k$$

Express \frac{3}{4}\times 16 as a single fraction.

$$\frac{3\times 16}{4}=45-5k$$

Multiply 3 and 16 to get 48.

$$\frac{48}{4}=45-5k$$

Divide 48 by 4 to get 12.

$$12=45-5k$$

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

$$45-5k=12$$

Subtract 45 from both sides.

$$-5k=12-45$$

Subtract 45 from 12 to get -33.

$$-5k=-33$$

Divide both sides by -5.

$$k=\frac{-33}{-5}$$

Fraction \frac{-33}{-5} can be simplified to \frac{33}{5} by removing the negative sign from both the numerator and the denominator.

$$k=\frac{33}{5}$$