Solve 5-2a/3=-9

$$5 \frac { - 2 a } { 3 } = - 9$$

Solve for a

$$a = \frac{27}{10} = 2\frac{7}{10} = 2.7$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$\frac{-2a}{3}=-\frac{9}{5}$$

Multiply both sides by 3.

$$-2a=-\frac{9}{5}\times 3$$

Express -\frac{9}{5}\times 3 as a single fraction.

$$-2a=\frac{-9\times 3}{5}$$

Multiply -9 and 3 to get -27.

$$-2a=\frac{-27}{5}$$

Fraction \frac{-27}{5} can be rewritten as -\frac{27}{5} by extracting the negative sign.

$$-2a=-\frac{27}{5}$$

Divide both sides by -2.

$$a=\frac{-\frac{27}{5}}{-2}$$

Express \frac{-\frac{27}{5}}{-2} as a single fraction.

$$a=\frac{-27}{5\left(-2\right)}$$

Multiply 5 and -2 to get -10.

$$a=\frac{-27}{-10}$$

Fraction \frac{-27}{-10} can be simplified to \frac{27}{10} by removing the negative sign from both the numerator and the denominator.

$$a=\frac{27}{10}$$