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# find the ordered pair (s, t) that satisfies the system of equations

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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

#1
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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
+1

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