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Mathematics 18 Online
OpenStudy (anonymous):

1/2x=15

Parth (parthkohli):

Multiply both sides by 2.

Parth (parthkohli):

And you're done.

OpenStudy (anonymous):

why 2?

Parth (parthkohli):

OK, let's think of it this way: divide both sides by \(\large {1 \over 2}\).

OpenStudy (anonymous):

and what do u mean multiply?

Parth (parthkohli):

Multiplication... is... the... basic... thing... they... teach... you... in... multiplication... tables.

Parth (parthkohli):

Remember this? 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8 2 x 5 = 10 2 x 6 = 12

Parth (parthkohli):

Basically, you just wanna get the \(\rm x\) alone.

OpenStudy (anonymous):

i'm sorry why do we multiply 2 to both sides is what i meant ;)

Parth (parthkohli):

Think of it this way: we must divide both sides by \(\Large {1 \over 2}\) which just means multiplying 2. Right?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

we multiply x by 2?

Parth (parthkohli):

Both sides.

OpenStudy (anonymous):

can u demonstrate?

Parth (parthkohli):

\[\rm {1 \over 2}x\cdot 2 = {15 \cdot 2} \]

OpenStudy (anonymous):

then the answer will be?

Parth (parthkohli):

\[15 \cdot 2\]

OpenStudy (anonymous):

ok..so WHAT IF 1/2x is equals to 3..and it will look like 3/2=30?

OpenStudy (anonymous):

What do mean if (1/2)x = 3? You multiplied by 2 in order to isolate the x...to let it alone on one side. So: \[x = 15 \times 2\]

OpenStudy (anonymous):

why do we multiply it with 2 then?

Parth (parthkohli):

As said above, we divide by one-half which is the same as multiplying 2.

OpenStudy (anonymous):

To UNDO the (1/2)x we multiply by 2. We want to solve for x, find it's value. So we need it isolated on one side.

OpenStudy (anonymous):

Once you multiply by 2, the (1/2) is gone.

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