Solve 1641.2=9/5c+32

$$1641.2 = \frac { 9 } { 5 } c + 32$$

Solve for c

$$c=894$$

Steps for Solving Linear Equation

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

$$\frac{9}{5}c+32=1641.2$$

Subtract 32 from both sides.

$$\frac{9}{5}c=1641.2-32$$

Subtract 32 from 1641.2 to get 1609.2.

$$\frac{9}{5}c=1609.2$$

Multiply both sides by \frac{5}{9}, the reciprocal of \frac{9}{5}.

$$c=1609.2\times \frac{5}{9}$$

Convert decimal number 1609.2 to fraction \frac{16092}{10}. Reduce the fraction \frac{16092}{10} to lowest terms by extracting and canceling out 2.

$$c=\frac{8046}{5}\times \frac{5}{9}$$

Multiply \frac{8046}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$c=\frac{8046\times 5}{5\times 9}$$

Cancel out 5 in both numerator and denominator.

$$c=\frac{8046}{9}$$

Divide 8046 by 9 to get 894.

$$c=894$$