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Find the ordered pair (s,t) that satisfies the system

s/2 + 5t = 3

3t - 6s = 9 + 5t

 
 Aug 5, 2022
 #1
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Multiply the first equation  through by 2

 

s + 10t = 6    →   s  =  6 - 10t

 

Sub this into the second equation

 

3t  - 6(6 - 10t)  = 9 + 5t

 

3t  - 36 + 60t  = 9 + 5t

 

63t - 36  = 9 + 5t

 

63t  -5t  = 9 + 36

 

58t  =  45

 

t =  45 /  58

 

s = 6 - 10( 45 /58)   =    -51/29

 

 

cool cool cool

 
 Aug 5, 2022

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