SOLUTION: Hi I'm struggling to rearrange equations with fractions. In both these equations i need to make 'a' the subject. Thanks 1. 2b=9c/5a -7 2. 5a=3c- 3a/c

Algebra ->  Equations -> SOLUTION: Hi I'm struggling to rearrange equations with fractions. In both these equations i need to make 'a' the subject. Thanks 1. 2b=9c/5a -7 2. 5a=3c- 3a/c       Log On


   

Question 831785: Hi I'm struggling to rearrange equations with fractions. In both these equations i need to make 'a' the subject. Thanks
1. 2b=9c/5a -7
2. 5a=3c- 3a/c
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
1) 2b = 9c/5a -7
multiply both sides of = by 5a
10ab = 9c -35a
add 35a to both sides of =
10ab +35a = 9c
5a(2b +7) = 9c
divide both sides of = by 5(2b+7)
a = 9c / 5(2b+7)
2) 5a = 3c- 3a/c
multiply both sides of = by c
5ac = 3c^2 -3a
add 3a to both sides of =
5ac +3a = 3c^2
a(5c+3) = 3c^2
a = 3c^2 / (5c+3)