Solve 36=50/7a-300/7

$$36 = \frac { 50 } { 7 } a - \frac { 300 } { 7 }$$

Solve for a

$$a = \frac{276}{25} = 11\frac{1}{25} = 11.04$$

Steps for Solving Linear Equation

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

$$\frac{50}{7}a-\frac{300}{7}=36$$

Add \frac{300}{7} to both sides.

$$\frac{50}{7}a=36+\frac{300}{7}$$

Convert 36 to fraction \frac{252}{7}.

$$\frac{50}{7}a=\frac{252}{7}+\frac{300}{7}$$

Since \frac{252}{7} and \frac{300}{7} have the same denominator, add them by adding their numerators.

$$\frac{50}{7}a=\frac{252+300}{7}$$

Add 252 and 300 to get 552.

$$\frac{50}{7}a=\frac{552}{7}$$

Multiply both sides by \frac{7}{50}, the reciprocal of \frac{50}{7}.

$$a=\frac{552}{7}\times \frac{7}{50}$$

Multiply \frac{552}{7} times \frac{7}{50} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{552\times 7}{7\times 50}$$

Cancel out 7 in both numerator and denominator.

$$a=\frac{552}{50}$$

Reduce the fraction \frac{552}{50} to lowest terms by extracting and canceling out 2.

$$a=\frac{276}{25}$$