Question

Solve for x. Express the answer in simplest form.
http://static.k12.com/bank_packages/files/media/mathml_2366bbd478fbe81c6704b0bedb20548628636baa_1.gif

Answer 1

@Hayleymeyer

Answer 2

We would cross multiply in this.

Answer 3

:), so what do you think it is?

Answer 4

Do you know how to cross multiply?

Answer 5

so 1 x 3 and 3 x 7, since 4x - 1 is 3

Answer 6

Well it would be \[\large 3 \times 7~=~ 1 \times (4x-1)\]

Answer 7

Oh alright, so what is the next step, I'm not very good at math ://

Answer 8

I learned some of this in 8th but then i had to take 7th grade math over again

Answer 9

Well we're gonna simplify and then get x alone.

Answer 10

\[\large 21~=~4x-1\] Now we gotta get x alone

Answer 11

How do we do that, just take the x out?

Answer 12

Well first is to get the 1 to the other side. Since it's currently a negative on the right side, we'll add it on both sides. What will that look like?

Answer 13

21 = 4x -1
+1 +1

Answer 14

Which would be...

Answer 15

22 = 5x

Answer 16

The ones would cancel out. You can't add a normal integer to an integer that's multiplied by a value. It would look like this \[\large 22~=~4x\] Now just divide the 4 on both sides to get the x alone.

Answer 17

22 / 4 = 5.5

Answer 18

and 4 / 4 = 1

Answer 19

Correct! Good job :) So \[\large 5.5~=~x\] which will be our answer :)

Answer 20

Well, the answer shows that it has to be a fraction on my schools website :/

Answer 21

Then just convert .5 to fraction form. Or keep it as 22/4.

Answer 22

Alright, thank you for your help :-)

Answer 23

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