SOLUTION: {{{a^2=4b^2}}} a=1+2b In the system of equations above, what is the value of a?

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Question 1043341:
a=1+2b
In the system of equations above, what is the value of a?
Found 3 solutions by t0hierry, ankor@dixie-net.com, ikleyn:
Answer by t0hierry(194)   (Show Source): You can put this solution on YOUR website!
These two equations look contradictory if you read a = 2b in the first equation. Instead, you have to read a = -2b or 4b = -1 that is b = -1/4 and thus a = 1/2.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!

a=1+2b
In the system of equations above, what is the value of a?
this system is inconsistent,
find the the square root of both sides of the first equation.
a = 2b
and the 2nd equation is given as
a = 1 + 2b
obviously not possible
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

a=1+2b
In the system of equations above, what is the value of a?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

   (1)
a=1+2b     (2)

Substitute (2) into (1). You will get

 =   --->

 =   --->

1 + 4b = 0  --->  b = .   Then  a = = .

Check.  = .   =  = = .

      1 + 2b =  = .    = .   !!! Checked !!!

Answer.  a = ,  b = .


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