Solve 1/2-7/3+c=5

$$\frac { 1 } { 2 } - \frac { 7 } { 3 } + c = 5$$

Solve for c

$$c = \frac{41}{6} = 6\frac{5}{6} \approx 6.833333333$$

Steps for Solving Linear Equation

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{7}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{14}{6}+c=5$$

Since \frac{3}{6} and \frac{14}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-14}{6}+c=5$$

Subtract 14 from 3 to get -11.

$$-\frac{11}{6}+c=5$$

Add \frac{11}{6} to both sides.

$$c=5+\frac{11}{6}$$

Convert 5 to fraction \frac{30}{6}.

$$c=\frac{30}{6}+\frac{11}{6}$$

Since \frac{30}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$c=\frac{30+11}{6}$$

Add 30 and 11 to get 41.

$$c=\frac{41}{6}$$