Question

Solve the system of equations by substitution. What is the solution for x?
2x + y = 1
4x + 2y = −1

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.

Answer 1

it is not the same equation

Answer 2

So Its' There is no x value as there is no solution.

Answer 3

plug in 0 and then 2 to see if y has a solution

Answer 4

y=-2x+1
4x+2(-2x+1)=-1
4x-4x+2=-1
0=2

this is not possible, you are correct

Answer 5

It's there is no value of x. How can the same number equal to two different numbers?

Answer 6

2x + y = 1
4x + 2y = −1

rearrange the first like this:
y = 1 -2x
now sub in this as y in the second:
4x + 2(1-2x) = -1

4x - 4x + 2 = -1

2 = -1

hence inconsistent. no solutions

Answer 7

also we can see that the equations are parallel, so they would not give a solution?

Answer 8

they are not parallel

Answer 9

oh wait, they are, sorry :P

Answer 10

they are:

2x + y = 1 is the same as y = 1 - 2x
4x + 2y = −1 is the same as y = -0.5 - 2x

Answer 11

:)

Answer 12

if they weren't then there would be a solution