Respuesta :

SJ2006

3-2b/9 = b/3-7

3+7 = b/3+2b/9

10 = 5b/9

5b = 90

b= 90/5

b= 18

Answer:

The value of the equation is 18

Step-by-step explanation:

Consider the provided equation.

[tex]3-\frac{2}{9}b = \frac{1}{3}b -7[/tex]  

Subtract 3 from both the sides.

[tex]3-\frac{2}{9}b-3=\frac{1}{3}b-7-3[/tex]

[tex]-\frac{2}{9}b=\frac{1}{3}b-10[/tex]

Subtract 1/3b from both sides.

[tex]-\frac{2}{9}b-\frac{1}{3}b=\frac{1}{3}b-10-\frac{1}{3}b[/tex]

[tex]-\frac{5}{9}b=-10[/tex]

Multiply both the sides by -9/5.

[tex]}b=-10\times \frac{-9}{5}[/tex]

[tex]}b=18[/tex]

Hence, the value of the equation is 18