Answer:
w = - [tex]\frac{58}{31}[/tex]
Step-by-step explanation:
3 1/4 = 1/2 + w
Cross Multiply
31(2 + w) = 4
Divide both sides by 31
[tex]\frac{31(2 + w)}{31}[/tex] = [tex]\frac{4}{31}[/tex] (simplify) -> 2 + w = [tex]\frac{4}{31}[/tex]
Subtract 2 from both sides
2 + w - 2 + [tex]\frac{4}{31}[/tex] - 2 (simplify) -> - [tex]\frac{58}{31}[/tex]
w = - [tex]\frac{58}{31}[/tex]