Solve -1/2u-6/5=-5/3

$$- \frac { 1 } { 2 } u - \frac { 6 } { 5 } = - \frac { 5 } { 3 }$$

Solve for u

$$u=\frac{14}{15}\approx 0.933333333$$

Steps for Solving Linear Equation

Add \frac{6}{5} to both sides.

$$-\frac{1}{2}u=-\frac{5}{3}+\frac{6}{5}$$

Least common multiple of 3 and 5 is 15. Convert -\frac{5}{3} and \frac{6}{5} to fractions with denominator 15.

$$-\frac{1}{2}u=-\frac{25}{15}+\frac{18}{15}$$

Since -\frac{25}{15} and \frac{18}{15} have the same denominator, add them by adding their numerators.

$$-\frac{1}{2}u=\frac{-25+18}{15}$$

Add -25 and 18 to get -7.

$$-\frac{1}{2}u=-\frac{7}{15}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$u=-\frac{7}{15}\left(-2\right)$$

Express -\frac{7}{15}\left(-2\right) as a single fraction.

$$u=\frac{-7\left(-2\right)}{15}$$

Multiply -7 and -2 to get 14.

$$u=\frac{14}{15}$$