Given
and
, solving for
yields
. Thus, when substituted, the sum of
,
, and
equals 45.
for
using the equation
and the given values
and
.
Write the equation using the given values.
![\[ a + b + c = 45 \]](https://img.qammunity.org/2024/formulas/mathematics/college/el3xnmsclt08myxfj181tu0zvaqimxpnc1.png)
![\[ 12.75 + b + 32.25 = 45 \]](https://img.qammunity.org/2024/formulas/mathematics/college/y5kyfywbysubdbkmd370ym7dnru0wbzjgw.png)
Combine the known values.
![\[ 12.75 + 32.25 + b = 45 \]](https://img.qammunity.org/2024/formulas/mathematics/college/alv5xkenlru5sz3dx60q9gello8zjmfcxi.png)
Add
and
together.
![\[ 45 + b = 45 \]](https://img.qammunity.org/2024/formulas/mathematics/college/jxhyc8oomze0rz30gbrmhe4m538o2ymy14.png)
Subtract
from both sides to solve for

![\[ b = 45 - 45 \]](https://img.qammunity.org/2024/formulas/mathematics/college/4ieetm0yk9o9tilssshutngzej4hfu4t85.png)
![\[ b = 0 \]](https://img.qammunity.org/2024/formulas/mathematics/college/4h4qzb63nqy6klmgpyhoyfznub327hn9do.png)
Therefore, when
,
, and
, the value of
is indeed 0.
complete the question
"Given that a + b + c = 45, a = 12.75 and c = 32.25, find b"