Solve the system of equations by substitution. What is the solution for x?

2x + y = 1
4x + 2y = -2

x = 0

x = 2

There is no x value, as there is no solution.

x can be any value, as there is an infinite number of solutions.

Question

Solve the system of equations by substitution. What is the solution for x?

2x + y = 1
4x + 2y = -2

x = 0 

x = 2
 
There is no x value, as there is no solution. 

x can be any value, as there is an infinite number of solutions.

anonymous · Answer

@Agl202 , @Godlovesme

solomonzelman · Answer

divide the second equation by 2
(or multiply the first equation by 2)

it is the same exact equation twice.

solomonzelman · Answer

besides that it is not equal to same thing

anonymous · Answer

So there is no solution

solomonzelman · Answer

yup

solomonzelman · Answer

$\large\color{black}{ 4x + 2y = 2 }$   (your first equation)
$\large\color{black}{ 4x + 2y = -2 }$
so   $\large\color{black}{ 4x + 2y  }$  is equal to 2 (in eq. 1), and at the same time (in the eq. 2) it is equal to -2.

anonymous · Answer

So it's the third choice right ?

solomonzelman · Answer

that means that for this system to have a solution you will need `2 = -2`, but that is never the case, (obviously).

solomonzelman · Answer

yes

anonymous · Answer

Wow, you are a big help and thanks for showing the work @SolomonZelman . You deserve a medal! Can you help me with another question?

solomonzelman · Answer

sure, why not?

anonymous · Answer

I'm gunna open a new question and I'll tag you, K!

solomonzelman · Answer

sure