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.

1 answer

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 \( g = 12 \).

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