Solve -3/5r=9/10

$$- \frac { 3 } { 5 } r = \frac { 9 } { 10 }$$

Solve for r

$$r = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

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

$$r=\frac{9}{10}\left(-\frac{5}{3}\right)$$

Multiply \frac{9}{10} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$r=\frac{9\left(-5\right)}{10\times 3}$$

Do the multiplications in the fraction \frac{9\left(-5\right)}{10\times 3}.

$$r=\frac{-45}{30}$$

Reduce the fraction \frac{-45}{30} to lowest terms by extracting and canceling out 15.

$$r=-\frac{3}{2}$$