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

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

Solve for u

$$u=-\frac{3}{40}=-0.075$$

Steps for Solving Linear Equation

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

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

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

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

Least common multiple of 5 and 2 is 10. Convert -\frac{3}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{4}{3}u=-\frac{6}{10}+\frac{5}{10}$$

Since -\frac{6}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{4}{3}u=\frac{-6+5}{10}$$

Add -6 and 5 to get -1.

$$\frac{4}{3}u=-\frac{1}{10}$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$u=-\frac{1}{10}\times \frac{3}{4}$$

Multiply -\frac{1}{10} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$u=\frac{-3}{10\times 4}$$

Do the multiplications in the fraction \frac{-3}{10\times 4}.

$$u=\frac{-3}{40}$$

Fraction \frac{-3}{40} can be rewritten as -\frac{3}{40} by extracting the negative sign.

$$u=-\frac{3}{40}$$