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

 May 10, 2024
 #1
avatar+128796 
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(s/2) + 5t = 3 - 7t + 8s    → s + 10t = 6 - 14t + 16s  → -15s + 24t  = 6    (1)

3t - 6s  = 9 -2t  →  6s + 5t  =  9   (2)

 

Multiply (1)  by  6  and  (2)  by 15

 

-90s +  144t  = 36

90s + 75t  =  135     add these

 

219 t   =  171

 

t = 171 / 219  =  57 / 73

 

6s + 5(57/73)  = 9

6s + 285/73  = 9

6s = 9 - 285/73

6s = 372/73

s = 62 / 73

 

cool cool cool

 May 10, 2024

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