Question

Next, solve this equation for the value of g.
3t+2g = 51
t = 21−g

3t+2g
=
51
3(21−g)+2g
=
51

g
=

Answer 1

To solve for \( g \) in the given equations, let's start by substituting \( t = 21 - g \) into the first equation:

\[
3t + 2g = 51
\]

Substituting for \( t \):

\[
3(21 - g) + 2g = 51
\]

Now, distribute the \( 3 \):

\[
63 - 3g + 2g = 51
\]

Combine the \( g \) terms:

\[
63 - g = 51
\]

Next, isolate \( g \) by subtracting 63 from both sides:

\[
-g = 51 - 63
\]
\[
-g = -12
\]

Now, multiply by -1:

\[
g = 12
\]

Thus, the solution is:

\[
g = 12
\]