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

 Aug 9, 2024
 #1
avatar+1950 
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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=923t+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! :)

 Aug 9, 2024
edited by NotThatSmart  Aug 9, 2024

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