## sonja_lee2 3 years ago what is the solution of the system equation? -2x+y=3 8x-4y=-12

1. wio

First solve for y in the first equation

2. wio

Can you do it?

3. sonja_lee2

yeah its y=-2x+3

4. ChmE

5. ChmE

Do you want to use elimination method or substitution method to solve this problem?

6. sonja_lee2

substitution

7. ChmE

Okay, retry to solve the first equation for y.

8. sonja_lee2

idk cause thats how i thought u do it

9. ChmE

-2x + y = 3 +2x -2x + y = 3 + 2x y = 3 + 2x

10. sonja_lee2

are u sure??

11. ChmE

You have to reverse the sign

12. ChmE

yes

13. sonja_lee2

okay nvm i see how u did it

14. ChmE

now we will substitute this into the second equation

15. ChmE

8x - 4(3 + 2x) = -12

16. sonja_lee2

ok

17. ChmE

can you solve for x by yourself now?

18. sonja_lee2

i got 0

19. ChmE

There is something wrong. Double check your problem and make sure you typed the original correctly 8x - 12 - 8x = -12 0=0 The x term drops out completely, this shouldn't happen

20. sonja_lee2

yeah i guess so thats why i ased cause i was getting confused

21. ChmE

I want to go back to this equation 8x - 12 - 8x = -12 rewritten as 8x - 12 = 8x - 12 lets get rid of the -12 8x = 8x then the 8's x=x So we can see that x equals all real numbers

22. ChmE

This question is written badly. You are positive this is the correct question?

23. sonja_lee2

yes

24. ChmE

I'm going to admit that I am confused as to our answer as well. Because x can equal anything which gives us an infinite amount of solutions. x=y/2 - 3/2 8(y/2 - 3/2) - 4y = -12 4y -12 - 4y = -12 y can be anything as well I'd say there is any infinite amount of solutions

25. ChmE

This is a weird problem. Sry that I couln't help get an exact answer. All of our steps our correct, we didn't make any mistakes