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.

Question

3t+2g = 51
t = 21−g
3t+2g
=
51

3(
)+2g
=
51

Answer 1

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, \(g\): \[ 63 - g = 51 \]