## overtonka 2 years ago Solve each system of equations by substitution -3v+3x=12 3v-6x=-21

1. tkhunny

1) Divide EVERYTHING by 3.

2. skullpatrol

$$-3v+3x=12$$ $$3v-6x=-21$$ $$\frac{1}{3}(-3v+3x)=\frac{1}{3}(12)$$ $$\frac{1}{3} (3v-6x)=\frac{1}{3}(-21)$$

3. skullpatrol

Dividing by 3 is the same as multiplying by 1/3 right? @overtonka

4. overtonka

I really don't know how to do this o.o

5. skullpatrol

The multiplication property of equality allows you to multiply both sides of an equation by the same nonzero number and get an equivalent equation. Have you heard of this property in class?

6. skullpatrol

@overtonka

7. overtonka

No I havent

8. skullpatrol

Let me give you an example let's say 3=3, now I multiply both sides by 2 what would I get?

9. skullpatrol

@overtonka

10. abc123!

11. ryan123345

To atleast make the question easier divide everything by 3

12. overtonka

I tried that

13. ryan123345

|dw:1361972385891:dw|

14. skullpatrol

15. skullpatrol

Do you want to learn how to do this?

16. ryan123345

|dw:1361972609881:dw|

17. ryan123345

|dw:1361972653183:dw|

18. skullpatrol

You must first understand why you do the steps @overtonka

19. ryan123345

|dw:1361972684025:dw|

20. skullpatrol

ryan will give you the answer .. I can show you how to do it ...you choose

21. ryan123345

|dw:1361972804662:dw|

22. skullpatrol

Being interested in how and why things work is what math is all about

23. skullpatrol

Do you want to learn how to do this?

24. skullpatrol

Why the steps work?

25. GaLm

Ryan is showing how to do it, he's not just giving answers

26. ryan123345

Thank you.

27. skullpatrol

Let the learner decide.

28. GaLm

ok, @overtonka , do you like the way skullpatrol does it or the way Ryan answers

29. Callisto

"It is better to guide the user to an answer rather than doing all the work yourself. We discourage giving out answers without letting the asker at least take some part in the analysis - the aim of this site is to teach. Please refer to our code of conduct at http://openstudy.com/code-of-conduct for more information. Thank you."

30. ryan123345

Okay sorry dude