Question

How do you solve `(2n+3)/4 = (5n-1)/6`?

Answer 1

`x=11/4`

Explanation:

`color(blue)((2n+3)/4=(5n-1)/6`

Cross multiply `color(orange)(If,a/b=c/d,Then,ad=bc`

`rarr6(2n+3)=4(5n-1)`

Use distributive property `color(red)(a(b+c)=ab+ac`

`rarr12n+18=20n-4`

Subtract `12n` both sides

`rarr18=8n-4`

Rearrange the equation

`rarr8n-4=18`

Add `4` both sides

`rarr8n=18+4`

`rarr8n=22`

Divide both sides by `8`

`rarr(cancel8n)/cancel8=(22)/8`

`rArrcolor(green)(x=22/8=11/4`