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

@ganeshie8

tkhunny · Answer

Well, do it.  Solve the top equation for y, since that looks easiest and substitute away!

nirmalnema · Answer

2x+y=1
4x+2y=-2   = 2x+y=-1
these are 2 parallel line since it has no solution

tkhunny · Answer

@nirmalnema  It's a lovely result, but where is your substitution?

nirmalnema · Answer

you will not get any ans ....by substitution

tkhunny · Answer

That is not correct.  The answer is unique.  Substitution WILL get you there.  OP doesn't seem interested, though.

tkhunny · Answer

2x + y = 1
4x + 2y = -2 

Solving the 1st
y = 1 - 2x
Substituting into the second
4x + 2(1-2x) = -2
Simplify
2x + (1-2x) = -1
2x + 1 - 2x = -1
2x - 2x = -1-1
0 = -2
As this is entirely false, we must conclude that there is no solution to this system.

It is a matter of interpreting the result correctly.