Answer:
Step-by-step explanation:
Given:
3v = 5w
=> 3v/5 = w
6v + 18 = 16w
=> 6v + 18 = 16(3v/5)
=> 6v + 18 = 48v/5
=> 6v + 18 = 9.6v
=> 18 = 3.6v
=> v = 5
Let's refer back to our equation '3v = 5w'.
=> 3v = 5w
=> 3(5) = 5w
=> 15 = 5w
=> w = 3
Therefore, our answer is (v = 5; w = 3).
Hoped this helped.
[tex]3v = 5w ~~~....(i)\\\\6v +18 = 16w~~~ ....(ii)\\\\\text{From (i):}\\\\3v = 5w\\ \\\implies 2(3v) =2(5w) \\\\\implies 6v = 10w ~~~......(iii)\\\\(ii) - (iii):\\\\6v + 18 -6v = 16w -10w\\\\\implies 18 = 6w\\\\\implies w = \dfrac{18}6 = 3[/tex]
[tex]\text{Substitute w =3 in equation (iii):}\\\\6v = 10(3) = 30\\\\\implies v =\dfrac{30} 6 = 5\\\\\\\text{Hence}~ v= 5 , ~w= 3[/tex]
