multiplyin fffracctions?

Question

13. 1/2x - 1 = 4

14. 2/3x + 2 = 12

15. 20 = 8/13x + 12

16. -1/2x + (-6) = 14

17. -22 = 14 - 9/10x

18. -16 = 3/5x + 8

19. 20 = -8/15x - 12

20. 2/5x + 1/5 = 2/5


how do u do this ????????? MAJOR heLp.......

Answer 1

This is similar to the previous question you have asked. This time, however, you have to isolate the x using two steps instead of one.

Work from the outside in. In the first problem, since -1 is more outside then 1/2, then add 1 (since it's opposite operation)

1/2x - 1 = 4
1/2x = 5
x = 10

The rest of the answers are
15
13
-40
40
-40
-60
1/2

Answer 2

1/2 x - 1 = 4
Add 1 to both sides
1/2 x = 5
multiply by 2
x = 10

2/3 x + 2 = 12
2/3 x = 10
multiply by 3/2
x = 10(3/2) = 5(3) = 15

20=8/13x+12
8 = 8/13x
Multiply by 13/8
8(13/8) = x
the 8's cancel, so 13=x

-1/2 x -6 = 14
-1/2 x = 20
multiply by -2
x = -40

-22 = 14 - 9/10 x
-36 = -9/10 x
The negitives can drop out since both sides have one
36 = 9/10 x
multiply by 10/9
36(10/9) = x
36/9 = 4, so 36(10/9) = 4*10 = 40=x

-16=3/5x + 8
-24 = 3/5x
multiply by 5/3
-24(5/3) = x
-8(5) = x
-40 = x

20 = -8/15x - 12
32 = -8/15x
32(-15/8) = x
4(-15)=x
-60=x

2/5 x + 1/5 = 2/5
In this case, I would multiply everything by 5
5(2/5 x + 1/5 = 2/5)
2 x + 1 = 2
2x = 1
x = 1/2

Answer 3

I'm guessing you're trying to solve for x. Basically, you can do anything to one side of the equation as long as you do it to the other side as well. For example, you want to get rid of that negative one on the left side of number 13, so you add 1 to both sides. Then you have 1/2x=4+1 or 5. Then you want to get rid of the half, to leave the x alone, so you multiply both sides by 2 because 2 times 1/2x is equal to x. This way, you would get that x equals 10. You can plug the 10 in for x in the original equation to check your answer to make sure you get 4, and you do. That's basically the way you do all of them. As for multyplying fractions, it's really not that hard. You just multiply the top part with the top part and the bottom part with the bottom part. As in number 20, first you subtract 1/5 from both sides and get that 2/5x=1/5, then you would multiply both sides by 5/2 to get the x by itself because 5 times 2 is 10 and 5/2 times 2/5x would get you 10/10x or just x. On the other side of the equation, multiplying 5/2 times 1/5 would get you 5/10, or a half if you have to simplify. So x=1/2 and you can plug that answer back into the original equation to make sure it's right and it is.

Answer 4

Get the term with the x alone on one side of the equation.

Look at number 16.

-1/2x + (-6) = 14 Add 6 to both sides.
-1/2x = 20 Multiply both sides by reciprocal of the number that is with the x. In this case the reciprocal is -2/1

x = 40

One more. Number 19.
20 = -8/15x - 12 Add 12 to both sides.
32 = -8/15x Multiply by -15/8
32/1 * (-15/8) = x Cross divide by 8.
4/1 * (-15/1) = x
4 * (-15) = x
-60 = x