Question

Can someone please help!

What are the steps for solving 7x-17
------- =4 for x?
8

Answer 1

\[\frac{ 7x-17 }{ 8 }=4\]

Answer 2

im guessing this is your equation

Answer 3

yes

Answer 4

Ok you want to get rid of the 8 first by using an operation that is opposite division.

Answer 5

Ok, so I would multiply?

Answer 6

Yes so you would multiply the eight on both sides of the equation so that the eights cancel on the left hand side where you x-variable is located.

Answer 7

so what would you have now?

Answer 8

56x-136 = 4?

Answer 9

ok no you multiplied the eight on the left hand side and got rid ofthe lower 8 which is actually like multiplying by 64. you also did not multiply the 8 on the right hand side of the equals sign.

Answer 10

\[(8)\frac{ 7x-17 }{ 8 } = 4(8)\] this is how it should look when you multiply the eights. the eight on the top will cancel with the eight on the bottom, and then you multiply 8 and 4 on the right side.

Answer 11

\[7x-17=4(8) \]
so then you are left with this.

Answer 12

now see if you can finish it.

Answer 13

Oh! ok! :D

Answer 14

uhhh I got lost! :(

Answer 15

where did you get lost
write what you've done so far. we'll work it step by step.

Answer 16

I'm not sure how to find x...

Answer 17

ok well show me the work you've done after the equation I showed you.

Answer 18

\[7x-17 =4(8)\]
what did you do after this step?

Answer 19

7x - 17 = 32

Answer 20

ok good

Answer 21

now remember the trick is to get x by itself.

Answer 22

so what term do you think we want to move next?

Answer 23

7?

Answer 24

not yet. 7 is attached to 7 so we will leave those too together. Try again.

Answer 25

im sorry attached to x

Answer 26

17

Answer 27

7 is attached to x so we will leave that term last.

Answer 28

yes. that is the one

Answer 29

but notice it is minus 17 so how do you think we can move -17 over to the right side of the equation?

Answer 30

addition?

Answer 31

exactly. so we will add 17 on both sides of the equation to cancel the 17 on the left.

Answer 32

\[7x-17+17 = 32 +17\]

Answer 33

so now what do you have?

Answer 34

7x-49?

Answer 35

oops!

Answer 36

no not - 49 leave the 49 on the right side of the equals sign.

Answer 37

7x=49

Answer 38

yes exactly.

Answer 39

so now what do you think will be the final step to solve for x?

Answer 40

Divid 49 by 7?

Answer 41

yes you got it.

Answer 42

X=7

Answer 43

so then what is the final answer?

Answer 44

:D

Answer 45

yes that's it.

Answer 46

well done

Answer 47

Thank you sooo much! :D

Answer 48

no problem.