Answer:
1) x=14
2) n=21/8=2.625
Explanation:
1)
So we have the equation:
![(x)/(16)-(1)/(2)=(3)/(8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/br18tgpbftqfhn5f9o2xhwaq15eoh5tjgq.png)
First, let's remove all the fractions. Multiply both sides by the LCM of 16, 2, and 8, which is 16. So:
![16((x)/(16)-(1)/(2))=16((3)/(8))](https://img.qammunity.org/2021/formulas/mathematics/high-school/fjga5lj1vrhh80t3fp5v97e8qogih5fglc.png)
Distribute:
![16((x)/(16))-16((1)/(2))=16((3)/(8))](https://img.qammunity.org/2021/formulas/mathematics/high-school/ft194nxb6zmg9lz4b9yjkto0lqazd0t49i.png)
Simplify:
![x-8=6](https://img.qammunity.org/2021/formulas/mathematics/high-school/torsjegzrklfnoeggrvh0mieuxri71hhoz.png)
Add 8 to both sides:
![x=14](https://img.qammunity.org/2021/formulas/mathematics/college/8l3pjzq1tq900sga6czqa0mjuhiniy8khn.png)
So, the value of x is 14.
2)
We have:
![(3n)/(7)-1=(1)/(8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/l16kg365zw97hqmhzdzolqthejqb161jru.png)
Again, let's remove the fractions by multiplying both sides by the LCM of 7 and 8, which is 56. So:
![56((3n)/(7))-56(1)=56((1)/(8))](https://img.qammunity.org/2021/formulas/mathematics/high-school/osswe1dwc0nd75lvul2mfn0tqz7z9bxr8n.png)
Simplify:
![24n-56=7](https://img.qammunity.org/2021/formulas/mathematics/high-school/bkn6aq3dvm5jtd5jqpd69k9glj4p3qx1ez.png)
Add 56 to both sides:
![24n=63](https://img.qammunity.org/2021/formulas/mathematics/high-school/wfj6fjpd7i2sh9c64477kfxslhj2mvh7lp.png)
Divide both sides by 24:
![n=63/24](https://img.qammunity.org/2021/formulas/mathematics/high-school/mpmkb54awaehk9fjsw8998kvuarg28frws.png)
Reduce:
![n=21/8=2.625](https://img.qammunity.org/2021/formulas/mathematics/high-school/xuavdmdgvd4dmiisuy9vsktgi5h9naeluk.png)
And we're done!