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.

- anonymous

- katieb

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- 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

So solve one of them them put the answer in the other equation?

- anonymous

yep

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## More answers

- anonymous

How would you solve the equation?

- 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

okay lets pic the second equation
4x + 2y = -1
subtract the 4x
2y = -1 - 4x
divide by 2
y = (-1 - 4x)/2

- anonymous

if you use the first equation the x's cancel out so i didn't use it

- anonymous

so now plug in y = (-1 - 4x)/2 as the y for your fist equation 2x+y = 1

- anonymous

so it would be 2x + (-1-4x)/2=1 ?

- anonymous

yep

- anonymous

and know just solve for x

- anonymous

however im starting to think its d

- 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

Thank you for the help it makes more sense how to solve it now.

- anonymous

oh really... thats strange im getting -3/2
is it canceling out for you ?

- anonymous

Yeah it is

- anonymous

So wouldnt it be d if it was canceling out?

- 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

i would like to think its C"

- anonymous

Why c?

- LynFran

because the x value cancels leaving -1/2=1 ...

- anonymous

But if the values get canceled out then wouldnt that mean there was just more then one solution

- anonymous

it was my understanding that if you could manage to get any x value then you could cancel out c

- anonymous

i place my bets on d :p

- LynFran

http://www.virtualnerd.com/algebra-1/linear-equations-solve/variables-both-sides-equations/identity-and-no-solution-equations/no-solution-equation-example

- anonymous

But the equation wasnt set up like that

- LynFran

http://www.charleston.k12.il.us/cms/Teachers/math/PreAlgebra/paunit5/L5-4.pdf

- LynFran

but let me know if it was D...

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