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Mathematics 20 Online
dude:

Geometry @Nicoley269

dude:

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dude:

Okay they are both the same length

dude:

Meaning that they both have to be 12.5

dude:

\(3y-x=12.5\\ 2x-y=12.5\)

dude:

Do you understand?

Nicoley269:

Ok

dude:

So from here we can isolate y from \(3y-x=12.5\) Do you know how to do that?

Nicoley269:

No

dude:

(first, add x on both sides)

Nicoley269:

Ok

Nicoley269:

3y=12.5+x

dude:

Right and now divide by 3 on both sides

Nicoley269:

Y=4.16666.... +1/3x

dude:

Right you can leave it as a fraction but decimal is fine too Substitute it into the second equation \(2x-(\frac{12.5}{3}+\frac13x)=12.5\) Distribute and solve for x

Nicoley269:

1 attachment
dude:

Yes, now subtract 2x and 1/3x

Nicoley269:

5/3x-12.5/3=12.5

dude:

\(\frac53x-\frac{12.5}{3}=25\) Right so now add \(\frac{12.5}{3}\) and 25

Nicoley269:

ok... im not rly good with fractions

dude:

Get them to the same base (multiply 25 by 3) \(\large \frac{12.5}{3}+\frac{75}{3}\) That should help

Nicoley269:

ok o i would get 87.5/3

dude:

\(\frac53x=\frac{87.5}{3}\) Now we isolate x, we should get x=10

Nicoley269:

ok so we just plug it in. right?

dude:

I have to go rn but From here we can just substitute back into either equation Isolate y and we should get y=7.5 x= 10 y=7.5 \(3(7.5)-10=12.5\\ 22.5-10=12.5\)\(\checkmark\)

Nicoley269:

ok

Nicoley269:

thank you

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