## AmberCat21 3 years ago 1/2x=15

1. ParthKohli

Multiply both sides by 2.

2. ParthKohli

And you're done.

3. AmberCat21

why 2?

4. ParthKohli

OK, let's think of it this way: divide both sides by $$\large {1 \over 2}$$.

5. AmberCat21

and what do u mean multiply?

6. ParthKohli

Multiplication... is... the... basic... thing... they... teach... you... in... multiplication... tables.

7. ParthKohli

Remember this? 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8 2 x 5 = 10 2 x 6 = 12

8. ParthKohli

Basically, you just wanna get the $$\rm x$$ alone.

9. AmberCat21

i'm sorry why do we multiply 2 to both sides is what i meant ;)

10. ParthKohli

Think of it this way: we must divide both sides by $$\Large {1 \over 2}$$ which just means multiplying 2. Right?

11. AmberCat21

yes

12. AmberCat21

we multiply x by 2?

13. ParthKohli

Both sides.

14. AmberCat21

can u demonstrate?

15. ParthKohli

$\rm {1 \over 2}x\cdot 2 = {15 \cdot 2}$

16. AmberCat21

17. ParthKohli

$15 \cdot 2$

18. AmberCat21

ok..so WHAT IF 1/2x is equals to 3..and it will look like 3/2=30?

19. jazy

What do mean if (1/2)x = 3? You multiplied by 2 in order to isolate the x...to let it alone on one side. So: $x = 15 \times 2$

20. AmberCat21

why do we multiply it with 2 then?

21. ParthKohli

As said above, we divide by one-half which is the same as multiplying 2.

22. jazy

To UNDO the (1/2)x we multiply by 2. We want to solve for x, find it's value. So we need it isolated on one side.

23. jazy

Once you multiply by 2, the (1/2) is gone.