Question

Are you done finding the solution to this system of equations?
3t+2g = 51
t = 21−g

g = 12

Yes, the answer is 12.

No, I still need to find the value of t.

Answer 1

Let's start by substituting the value of \( g = 12 \) into the second equation \( t = 21 - g \) to find the value of \( t \).

Substituting:

\[
t = 21 - 12
\]

Calculating:

\[
t = 9
\]

Now we have the values:

\[
g = 12 \quad \text{and} \quad t = 9
\]

To verify, we can plug these values back into the first equation \( 3t + 2g = 51 \):

\[
3(9) + 2(12) = 27 + 24 = 51
\]

Since this is true, the solutions are:

\[
t = 9 \quad \text{and} \quad g = 12
\]

So, to answer your original question: No, I still needed to find the value of \( t \); the correct solutions are \( t = 9 \) and \( g = 12 \).