Solve -6/5u-1/2=-4/3

$$- \frac { 6 } { 5 } u - \frac { 1 } { 2 } = - \frac { 4 } { 3 }$$

Solve for u

$$u=\frac{25}{36}\approx 0.694444444$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

$$-\frac{6}{5}u=-\frac{4}{3}+\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{6}{5}u=-\frac{8}{6}+\frac{3}{6}$$

Since -\frac{8}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$-\frac{6}{5}u=\frac{-8+3}{6}$$

Add -8 and 3 to get -5.

$$-\frac{6}{5}u=-\frac{5}{6}$$

Multiply both sides by -\frac{5}{6}, the reciprocal of -\frac{6}{5}.

$$u=-\frac{5}{6}\left(-\frac{5}{6}\right)$$

Multiply -\frac{5}{6} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$u=\frac{-5\left(-5\right)}{6\times 6}$$

Do the multiplications in the fraction \frac{-5\left(-5\right)}{6\times 6}.

$$u=\frac{25}{36}$$