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

 \(\begin{align*} \dfrac{s}{4} - 2t &= 2,\\ 3t - 6s &= 9. \end{align*}\) 
 

 Jul 20, 2019

Best Answer 

 #1
avatar+19325 
+2

Multiply first equation by 24

-48t +6s = 48      add it to the second equation

3t   - 6s = 9       to get

-45t = 57      divide both sides by -45

t = -57/45 = -1  12/45   =  -1 4/15     now substitute this value of t back into one of the two original equations and solve for 's'

 Jul 20, 2019
edited by ElectricPavlov  Jul 20, 2019
edited by ElectricPavlov  Jul 20, 2019
 #1
avatar+19325 
+2
Best Answer

Multiply first equation by 24

-48t +6s = 48      add it to the second equation

3t   - 6s = 9       to get

-45t = 57      divide both sides by -45

t = -57/45 = -1  12/45   =  -1 4/15     now substitute this value of t back into one of the two original equations and solve for 's'

ElectricPavlov Jul 20, 2019
edited by ElectricPavlov  Jul 20, 2019
edited by ElectricPavlov  Jul 20, 2019

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