Let x be the number
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}[/tex]
[tex]\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }[/tex]
[tex]\small\bold\red{→}\small\bold{x = 12}[/tex]
Hello.
First, "half a number" means we divide that number by 2.
Let's say the number is z.
Divide z by 2:
[tex]\displaystyle\frac{z}{2}[/tex]
Add 5 to it:
[tex]\displaystyle\frac{z}{2} +5[/tex]
Now, this expression equals 11:
[tex]\displaystyle\frac{z}{2} +5=11[/tex]
Subtract 5 from both sides:
[tex]\displaystyle\frac{z}{2} =11-5[/tex]
[tex]\displaystyle\frac{z}{2} =6[/tex]
Now, in order to get rid of the fraction, we should multiply the entire equation by 2:
[tex]\displaystyle\frac{z}{2} *2=6*2[/tex]
[tex]z=6*2[/tex]
[tex]\Large\boxed{z=12}[/tex]
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
