Find the ordered pair (s, t) that satisfies the system
(s/2) + 5t =3 - 7t + 8s
3t - 6s = 9 - 2t
First, let's put s in terms of t so we can do some subsitutions. We get
s=−2(−4t+1)5 from the first equation.
Subsituting this value of s into the second equation, we get
3t−6(−2(−4t+1)5)=9−2t
Now, we solve for t. We get
−23t+125=9−23t+12=45t=−3323
Now, we subsitute t back into the first equation to find s. We get
s=−6223
We get
s=−6223,t=−3323
So our final answer is (−62/23,−33/23)
Thanks! :)