Processing math: 100%
 
+0  
 
0
28
1
avatar+900 

Find the ordered pair (s, t) that satisfies the system
(s/2) + 5t =3 - 7t + 8s
3t - 6s = 9 - 2t

 Jun 15, 2024

Best Answer 

 #1
avatar+1950 
+1

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

3t6(2(4t+1)5)=92t

 

Now, we solve for t. We get

23t+125=9

23t+12=45

t=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! :)

 Jun 16, 2024
 #1
avatar+1950 
+1
Best Answer

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

3t6(2(4t+1)5)=92t

 

Now, we solve for t. We get

23t+125=9

23t+12=45

t=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! :)

NotThatSmart Jun 16, 2024

4 Online Users

avatar
avatar
avatar
avatar