What is the value of y in sin99/(5y-18) = sin49/(3y+2.7) ?

1 Answer
Dec 17, 2017

=> y = - (18sin49 + 2.7sin99)/(3sin99 - 5sin49 )

Explanation:

Multiplying by 5y - 18 :

sin99 = (sin49 ( 5y - 18))/(3y+2.7)

Multiplying by 3y + 2.7

=> sin99 (3y + 2.7 ) = sin49( 5y-18)

Expanding:

=> 3sin99 y + 2.7sin99 = 5sin49 y - 18sin49

Rearanging:

=> y ( 3sin99 -5sin49) = -18sin49 - 2.7sin99

=> y = - (18sin49 + 2.7sin99)/(3sin99 - 5sin49 )