1. ## algebra

equation

6=a/7

w/12=2

2. Originally Posted by dianna
equation

6=a/7

w/12=2
If two things are equal, they are also equal after multiplying both by
the same thing.

so if:

6=a/7,

then:

6 x 7 = (a/7) x 7,

but (a/7)x7=a, so:

6x7=a,

or:

a=42.

The same thing works with the second:

w/12=2

12x(w/12)=12x2,

so:

w=24.

RonL

3. Originally Posted by dianna
equation

6=a/7

w/12=2
Hi, diana, li'l girl!

Here is one way. The "isolate" way.

So, to find the unknown, isolate it in one side of the equation. By itself, alone, no attachments.

6 = a/7

See that the unknown "a" has a 7 as its denominator. To isolate the "a", remove that denominator 7 from "a".
a/7 means "a divided by 7", so to clear or eliminate or remove 7 from "a", you multiply both sides of the equation by 7. Thus,
6*7 = a/7 *7
42 = a
or.

----------------------------------
w/12 = 2

w has that 12 under it. That 12 divides w by 12. To clear w of that 12, multiply both sides by 12.

w/12 times 12 = 2 times 12

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If I confused you instead, sorry, diana.