Answer:
![\boxed {\tt h=8.2}](https://img.qammunity.org/2021/formulas/mathematics/college/qnf6ptfi9fbmqzdg57dcwlyxzpff8h2q2g.png)
Explanation:
We are given the equation:
![h-1=7.2](https://img.qammunity.org/2021/formulas/mathematics/college/ggsabsm0z422bbkmwlwepzp3xx1zbuh4n1.png)
and asked to solve for
. We must isolate
on one side of the equation.
1 is being subtracted from
. The inverse of subtraction is addition. Since this is an equation, we must perform the operation to both sides of the equation. Add 1 to both sides of the equation.
![h-1+1=7.2+1](https://img.qammunity.org/2021/formulas/mathematics/college/glty7j4dgot8gnduusl3oowmuwe2pf4aub.png)
![h=7.2+1](https://img.qammunity.org/2021/formulas/mathematics/college/ybghq7hd4skin9gwy1kamymovyqx8s3dvd.png)
![h=8.2](https://img.qammunity.org/2021/formulas/mathematics/college/fent7mgc1bwqwsc7c0p74eenr3objncgtr.png)
Let's check our solution. Plug 8.2 in for
and solve.
![h-1=7.2](https://img.qammunity.org/2021/formulas/mathematics/college/ggsabsm0z422bbkmwlwepzp3xx1zbuh4n1.png)
![8.2-1=7.2](https://img.qammunity.org/2021/formulas/mathematics/college/44zwcfgh21ixcit4gv0841by8gigjavwkm.png)
![7.2=7.2](https://img.qammunity.org/2021/formulas/mathematics/college/j6l77h2jf4b7hhddnhjshqtmgb0pk1y9yh.png)
This checks out, so we know our solution is correct.
The solution is h=8.2