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

okay give me a sec

Answer 2

So I got 3/1

Answer 3

So, you got \(x=3\) ?

Answer 4

I'd recheck that work.

Answer 5

sith made a typo

the problem is
4x+2(1-2x)= -1

Answer 6

yes i guess but that is not one of my anwer choices

Answer 7

okay let me work it out

Answer 8

Ah, thanks for pointing it out @phi. In any case, it's still not right.

Answer 9

The answer, that is.

Answer 10

so now I have -3

Answer 11

\[4x+2y=-1~\iff~4x+2(1-2x)=-1\]
\[4x+2-4x=-1\\
2=-1\]
Is that true?

Answer 12

what did you get for
2(1-2x) part ?

Answer 13

I got 2-4x ?

Answer 14

and 4x+2 -4x is ?

Answer 15

x+2 ?

Answer 16

4 x's take away 4 x's leaves how many x's ?

Answer 17

Ohhh 0 X's

Answer 18

and 4x+2 -4x is ?

Answer 19

2 ?

Answer 20

yes, so you started with
4x+2(1-2x)= -1

and simplified the left side to 2
2 = -1

that is not true... it is a sign that there is *no solution*

Answer 21

so the answer is There is no x value as there is no solution ?

Answer 22

exactly

Answer 23

thank you !