Solve -3/5u-9/4=-5/3

$$- \frac { 3 } { 5 } u - \frac { 9 } { 4 } = - \frac { 5 } { 3 }$$

Solve for u

$$u=-\frac{35}{36}\approx -0.972222222$$

Steps for Solving Linear Equation

Add \frac{9}{4} to both sides.

$$-\frac{3}{5}u=-\frac{5}{3}+\frac{9}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{5}{3} and \frac{9}{4} to fractions with denominator 12.

$$-\frac{3}{5}u=-\frac{20}{12}+\frac{27}{12}$$

Since -\frac{20}{12} and \frac{27}{12} have the same denominator, add them by adding their numerators.

$$-\frac{3}{5}u=\frac{-20+27}{12}$$

Add -20 and 27 to get 7.

$$-\frac{3}{5}u=\frac{7}{12}$$

Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.

$$u=\frac{7}{12}\left(-\frac{5}{3}\right)$$

Multiply \frac{7}{12} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$u=\frac{7\left(-5\right)}{12\times 3}$$

Do the multiplications in the fraction \frac{7\left(-5\right)}{12\times 3}.

$$u=\frac{-35}{36}$$

Fraction \frac{-35}{36} can be rewritten as -\frac{35}{36} by extracting the negative sign.

$$u=-\frac{35}{36}$$