Solve 7/9(-7)+b=-3

$$\frac { 7 } { 9 } ( - 7 ) + b = - 3$$

Solve for b

$$b = \frac{22}{9} = 2\frac{4}{9} \approx 2.444444444$$

Steps for Solving Linear Equation

Express \frac{7}{9}\left(-7\right) as a single fraction.

$$\frac{7\left(-7\right)}{9}+b=-3$$

Multiply 7 and -7 to get -49.

$$\frac{-49}{9}+b=-3$$

Fraction \frac{-49}{9} can be rewritten as -\frac{49}{9} by extracting the negative sign.

$$-\frac{49}{9}+b=-3$$

Add \frac{49}{9} to both sides.

$$b=-3+\frac{49}{9}$$

Convert -3 to fraction -\frac{27}{9}.

$$b=-\frac{27}{9}+\frac{49}{9}$$

Since -\frac{27}{9} and \frac{49}{9} have the same denominator, add them by adding their numerators.

$$b=\frac{-27+49}{9}$$

Add -27 and 49 to get 22.

$$b=\frac{22}{9}$$