Question 540457: a+b=6
b+c=5
c+d=4
d+e=2
e+a=2
Solve for all.
Answer by boilpoil(127)   (Show Source):
You can put this solution on YOUR website! if it is like this then we should 'combine' the equations all together:
a+b+b+c+c+d+d+e+e+a=6+5+4+2+2 ---Adding all questions together is the same as adding all the answers together
2a+2b+2c+2d+2e=19
2(a+b+c+d+e)=19
a+b+c+d+e=9.5
a+6-a+c+4-c+2-a=9.5 ---By carefully choosing which variable to substitute in, we are able to make this a simple equation
6+4+2-a=9.5
12-a=9.5
-a=-2.5
a=2.5
b=6-2.5
=3.5
c=5-3.5
=1.5
d=4-1.5
=2.5
e=2-2.5
=-0.5
Doing these types of questions requires a flexible thinking, you might need to train yourself on these types of questions more.
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