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Find the value of v. Find the value of w. 3v=5w, 6v+18=16w

Sagot :

Answer:

  • w = 3
  • v = 5

Step-by-step explanation:

Given:

  • 3v = 5w
  • 6v + 18 = 16w

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.

loneguy

[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]

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