Question

(Will give cookie and medal :D)

Solve for x: x - 6
---- = 5
4

Answer 1

Sorry, it's a little hard to get the question is it \[\frac{x-6}{4} = 5\]?

Answer 2

yes

Answer 3

Ok great. What do you think the first step would be? We are trying to solve for x and we want to get rid of the numbers on the bottom of the fraction.

Answer 4

so we'd get rid of the fraction first?

Answer 5

Yep, we need to multiply both sides by something to get rid of the fraction. What do you think we should multiply by?

Answer 6

4?

Answer 7

BOOM! that's it! Multiplying both sides by 4 gives us \[\ 4\times \frac{x-6}{4} = 5 \times 4\]Can you simplify that?

Answer 8

lol... uhh so multiplying 6 and 4 first?

Answer 9

Well we need to look at the right hand side like this \[4 \times (\frac{x-6}{4}) = x-6\]
When we multiply that out we can simply cancel out. Does that make sense?

Answer 10

im a bit confused. I thought we just multiply all the numbers in the equation by 4 making 6 24 and so on

Answer 11

I'd just convert 5 to a fraction with a denominator of 4, cancel the denominators and solve for x.

Answer 12

as in 5/4 x 4/1?

Answer 13

Yep that works too, however it's a little faster this way (and easier in my opinion.
However we can do that.
\[4 \times (\frac{x-6}{4}) = \frac{4x-24}{4} = \frac{4x}{4}-\frac{24}{4}\]
\[\frac{4x}{4}-\frac{24}{4} = x-6\]So hopefully you can see that we reach the same conclusion but it takes a lot longer.

Answer 14

no. As in:

(x-6)/4 = 20/4

cancelling the denominators leaves x-6 = 20

Answer 15

ohhh... so x would equal 26?

Answer 16

Yup... :-)

Answer 17

oh okay thanks you guys!!! *gives each a cookie*

Answer 18

Danke!! :-)

Answer 19

Cheers!

Answer 20

69

Answer 21

soryy