Answer:
1) x=14
2) n=21/8=2.625
Step-by-step explanation:
1)
So we have the equation:
[tex]\frac{x}{16}-\frac{1}{2}=\frac{3}{8}[/tex]
First, let's remove all the fractions. Multiply both sides by the LCM of 16, 2, and 8, which is 16. So:
[tex]16(\frac{x}{16}-\frac{1}{2})=16(\frac{3}{8})[/tex]
Distribute:
[tex]16(\frac{x}{16})-16(\frac{1}{2})=16(\frac{3}{8})[/tex]
Simplify:
[tex]x-8=6[/tex]
Add 8 to both sides:
[tex]x=14[/tex]
So, the value of x is 14.
2)
We have:
[tex]\frac{3n}{7}-1=\frac{1}{8}[/tex]
Again, let's remove the fractions by multiplying both sides by the LCM of 7 and 8, which is 56. So:
[tex]56(\frac{3n}{7})-56(1)=56(\frac{1}{8})[/tex]
Simplify:
[tex]24n-56=7[/tex]
Add 56 to both sides:
[tex]24n=63[/tex]
Divide both sides by 24:
[tex]n=63/24[/tex]
Reduce:
[tex]n=21/8=2.625[/tex]
And we're done!
