anonymous
  • anonymous
Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1 a. x = 0 b. x = 2 c. There is no x value as there is no solution. d. x can be any value as there is an infinite number of solutions.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
okay so basically you have to set on of the equations equal to y and then plug that value you get for y into the other equation
anonymous
  • anonymous
So solve one of them them put the answer in the other equation?
anonymous
  • anonymous
yep

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anonymous
  • anonymous
How would you solve the equation?
LynFran
  • LynFran
eq.1 2x+y=1 eq.2 4x+2y=-1 from eq.1 we solve for y so y=1-2x now sub y=1-2x in eq.2 so, 4x+2(1-2x)=-1
anonymous
  • anonymous
okay lets pic the second equation 4x + 2y = -1 subtract the 4x 2y = -1 - 4x divide by 2 y = (-1 - 4x)/2
anonymous
  • anonymous
if you use the first equation the x's cancel out so i didn't use it
anonymous
  • anonymous
so now plug in y = (-1 - 4x)/2 as the y for your fist equation 2x+y = 1
anonymous
  • anonymous
so it would be 2x + (-1-4x)/2=1 ?
anonymous
  • anonymous
yep
anonymous
  • anonymous
and know just solve for x
anonymous
  • anonymous
however im starting to think its d
LynFran
  • LynFran
exactly the x cancels out which is true so there is an option for that...it will still cancel out ussing your way @Jdosio
anonymous
  • anonymous
Thank you for the help it makes more sense how to solve it now.
anonymous
  • anonymous
oh really... thats strange im getting -3/2 is it canceling out for you ?
anonymous
  • anonymous
Yeah it is
anonymous
  • anonymous
So wouldnt it be d if it was canceling out?
anonymous
  • anonymous
anyway depending on how you decide to go about it you get different values for x which leads me to believe that it is d
LynFran
  • LynFran
i would like to think its C"
anonymous
  • anonymous
Why c?
LynFran
  • LynFran
because the x value cancels leaving -1/2=1 ...
anonymous
  • anonymous
But if the values get canceled out then wouldnt that mean there was just more then one solution
anonymous
  • anonymous
it was my understanding that if you could manage to get any x value then you could cancel out c
anonymous
  • anonymous
i place my bets on d :p
LynFran
  • LynFran
http://www.virtualnerd.com/algebra-1/linear-equations-solve/variables-both-sides-equations/identity-and-no-solution-equations/no-solution-equation-example
anonymous
  • anonymous
But the equation wasnt set up like that
LynFran
  • LynFran
http://www.charleston.k12.il.us/cms/Teachers/math/PreAlgebra/paunit5/L5-4.pdf
LynFran
  • LynFran
but let me know if it was D...

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