SOLUTION: the problem is: {{{ c/2-80b=120 }}} and {{{ a/5+2b/7=1}}} (find c in terms of a) when i did the second expression, i got 80b=280-56a then i substituted this into the first

Algebra ->  Expressions-with-variables -> SOLUTION: the problem is: {{{ c/2-80b=120 }}} and {{{ a/5+2b/7=1}}} (find c in terms of a) when i did the second expression, i got 80b=280-56a then i substituted this into the first      Log On


   



Question 62850: the problem is:
+c%2F2-80b=120+ and +a%2F5%2B2b%2F7=1
(find c in terms of a)
when i did the second expression, i got 80b=280-56a
then i substituted this into the first and got
c=800-112a as my final answer
is this right??
thanks

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, it looks like you got it all right!..
a%2F5+%2B+2b%2F7+=+1
%287a+%2B+10b%29%2F35+=+1
7a+%2B+10b+=+35
10b+=+35+-+7a
80b+=+280+-+56a Substituting this into the first "equation".
c%2F2+-+80b+=+120
c%2F2+-+%28280+-+56a%29+=+120 Simplifying, you get:
c%2F2+%2B+56a+=+400
c%2F2+=+400+-+56a Multiplying by 2:
c+=+800+-+112a