Next, solve this equation for the value of g.

3t+2g = 51
t = 21−g

3t+2g
=
51
3(21−g)+2g
=
51

g
=

1 answer

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:

\[ g = 12 \]