Question

plz help me im struggleing
what is the solution to the system below?
2x+y=3
4x+2y=6

(2,2)
(2,-2)
no solution
infinite solutions on the line

Answer 1

Uh you can solve this using substitution, do you know how to do that?

Answer 2

dude i dont pay attention in my live lessons because i work a job 24 7

Answer 3

D: sorry

Well I'l walk you through it

What is the opposite of adding 2x?

Answer 4

subract 2x from both sides right

Answer 5

Right

(We're doing this on the first equation 2x+y=3)

Answer 6

2x+y=3
-2x+y=-2x
am i right so far

Answer 7

Close



Don't forget the 3 and the 2x on the left side is crossed out

Answer 8

so now we have to either get rid of the x or we keep as is

Answer 9

Keep it as is, we know what y equals, that's all we wanted for now


Then we have to substitute the equation we just got into the second equation

y=-2x+3 into -> 4x+2y=6

Do you know how to do that?

Answer 10

no i dont remember

Answer 11

The answer is the same for both
x=(-1/2)y+3/2
y=-2x+3

Answer 12

We know what y is, we just insert it into the second equation

Answer 13

so im supost to subtract it now and i will get my answer

Answer 14

Well, almost, you first want to distribute

2(-2x+3)

Answer 15

-4x+6

Answer 16

Good good

4x-4x+6=6

Now we combine the x's

Answer 17

We should get

6=6

Because they are the same this means that there are infinitely many solutions

Answer 18

ok thx