Question

Solve for the unknown:

a+b+d+g+5+8+3+7=40
8+3+b+a=18
3+7+b+g=19
8+d+b+7=24

4 equations and 4 unknowns

Please help me! :(

Answer 1

we have to clean this up a bit first

Answer 2

How?

Answer 3

\(a+b+d+g+5+8+3+7=40\) is the same as
\(a+b+d+g = 17\)

Answer 4

second one is the same as
\[a+b = 7\]

Answer 5

How did you get 7?

Answer 6

\[8+3+b+a=18\] since \(8+3=11\) this is
\[a+b+11=18\] subtract 11 and get
\[a+b=7\]

Answer 7

next one is
\[b+g = 9\]

Answer 8

and last one is
\[b+d = 9\]
that is what i meant by "clean it up" first

Answer 9

I see. Thank you! What's the next step then?

Answer 10

\[a+b+d+g=17\\a+b=7\\b+d=9\\b+g=9\] i think is what we have

Answer 11

Ah, so the notes on the bottom of that other problem were not enough?

What satellite73 did is the form I talked about. Now it should be very easy to get b. Once you have b, you have the rest.

Answer 12

the last two equations tell you that \(d=g\) since if you subtract the one from the other you get \(d-g=0\) and so \(d=g\)

Answer 13

then since \(a+b=7\) the first equation is
\[7+d+g=17\] and so \[d+g=10\]
now since \(d=g\) they both must be 5

Answer 14

since \(d=5\) and \(b+d=9\) this tells you \(b=4\)

Answer 15

and finally since you know \(b=4,d=g=5\) you can find \(a\)

is that okay?

Answer 16

YEEEEEEEEEEES! Thank you sooo much! :)

Answer 17

yw

Answer 18

romantics?

Answer 19

http://www.youtube.com/watch?v=Rqnw5IfbZOU

Answer 20

Now you can finish filling out that diagram.
http://openstudy.com/study#/updates/51c1f48de4b0a49e8c8ff6fb

Answer 21

wow, you don't need all this to solve that venn diagram!

Answer 22

I was just continuing the way it was started. If there is an easier way, great. Add it. Would be good to see it.

Answer 23

oh i see, i was looking at the first one, didn't see the second one
sorry