Question
You rewrote the second equation as t=21−g. You can now substitute t=21−g for t in the first equation to rewrite the first equation with one variable, g. Do that now.
3t+2g = 51
t = 21−g
3t+2g
=
51
3(
)+2g
=
51
3t+2g = 51
t = 21−g
3t+2g
=
51
3(
)+2g
=
51
Answers
GPT-4o mini
To rewrite the first equation \(3t + 2g = 51\) using the substitution \(t = 21 - g\), follow these steps:
1. Substitute \(t\) in the first equation:
\[
3(21 - g) + 2g = 51
\]
2. Distribute \(3\) in the equation:
\[
63 - 3g + 2g = 51
\]
3. Combine like terms:
\[
63 - g = 51
\]
Now, you have rewritten the first equation with one variable, \(g\):
\[
63 - g = 51
\]
1. Substitute \(t\) in the first equation:
\[
3(21 - g) + 2g = 51
\]
2. Distribute \(3\) in the equation:
\[
63 - 3g + 2g = 51
\]
3. Combine like terms:
\[
63 - g = 51
\]
Now, you have rewritten the first equation with one variable, \(g\):
\[
63 - g = 51
\]