Solve -3=-5/3(-5)+b

$$- 3 = \frac { - 5 } { 3 } ( - 5 ) + b$$

Solve for b

$$b = -\frac{34}{3} = -11\frac{1}{3} \approx -11.333333333$$

Steps for Solving Linear Equation

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$-3=-\frac{5}{3}\left(-5\right)+b$$

Express -\frac{5}{3}\left(-5\right) as a single fraction.

$$-3=\frac{-5\left(-5\right)}{3}+b$$

Multiply -5 and -5 to get 25.

$$-3=\frac{25}{3}+b$$

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

$$\frac{25}{3}+b=-3$$

Subtract \frac{25}{3} from both sides.

$$b=-3-\frac{25}{3}$$

Convert -3 to fraction -\frac{9}{3}.

$$b=-\frac{9}{3}-\frac{25}{3}$$

Since -\frac{9}{3} and \frac{25}{3} have the same denominator, subtract them by subtracting their numerators.

$$b=\frac{-9-25}{3}$$

Subtract 25 from -9 to get -34.

$$b=-\frac{34}{3}$$