SOLUTION: a(x-b)/b +3x = 5c/2 SOLVE FOR a and then Same problem different SOLVE FOR x Instructor created Question

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Question 176855: a(x-b)/b +3x = 5c/2 SOLVE FOR a and then Same problem different SOLVE FOR x
Instructor created Question
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a%28x-b%29%2Fb+%2B+3x+=+5c%2F2 SOLVE FOR a
mult eq by 2b to get rid of the denominators,results:
:
2a(x-b) + 2b(3x) = 5bc
;
2ax - 2ab + 6bx = 5bc
;
2ax - 2ab = 5bc - 6bx
factor out a
a(2x - 2b) = 5bc - 6bx
a = %285bc-6bx%29%2F%282x-2b%29
or
a = %28b%285c-6x%29%29%2F%282%28x-b%29%29



and then Same problem different SOLVE FOR x
a%28x-b%29%2Fb+%2B+3x+=+5c%2F2 SOLVE FOR x
mult eq by 2b to get rid of the denominators,results:
:
2a(x-b) + 2b(3x) = 5bc
;
2ax - 2ab + 6bx = 5bc
;
2ax + 6bx = 5bc + 2ab
factor out x
x(2a + 6b) = 5bc + 2ab
x = %285bc+%2B+2ab%29%2F%282a+%2B+6b%29
or
x = %28b%285c+%2B+2a%29%29%2F%282%28a+%2B+3b%29%29