Answer:
[tex] \boxed{ \bold{ \huge{ \bold{w = 5}}}}[/tex]
Option D is the correct option
Step-by-step explanation:
[tex] \sf{8 + \frac{35}{w} = 15}[/tex]
⇒[tex] \sf{ \frac{8 \times w + 35}{w} = 15}[/tex] { w ÷ 1 = w , So, I wrote 8 × w }
⇒[tex] \sf{ \frac{8w + 35}{w} = 15}[/tex]
Apply cross product property
⇒[tex] \sf{8w + 35 = 15w}[/tex]
Move 15w to left hand side and change it's sign
Similarly, Move 35 to right hand side and change it's sign
⇒[tex] \sf{8w - 15w = - 35}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 w = - 35 }[/tex]
Divide both sides of the equation by -7
⇒[tex] \sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }[/tex]
Calculate
⇒[tex] \sf{w = 5}[/tex]
Hope I helped!
Best regards!!
