Respuesta :

Answer:

b = 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • [tex]\frac{1}{2}(b) + \frac{1}{2}(-3) = \frac{5}{2}[/tex]
  • [tex]\frac{1}{2}b - \frac{3}{2} = \frac{5}{2}[/tex]

Step 2: Add 3/2 to both sides.  

  • [tex]\frac{1}{2}b - \frac{3}{2} + \frac{3}{2} = \frac{5}{2} + \frac{3}{2}[/tex]
  • [tex]\frac{1}{2}b = 4[/tex]

Step 3: Multiply both sides by 2.

  • [tex]\frac{1}{2}b * 2 = 4 * 2[/tex]
  • [tex]b = 8[/tex]