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# Help!! I'm confused

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

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

Sep 4, 2018

#1
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I think you've posted this question multiple times!

Sep 4, 2018
#2
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from equation 2 $$t=2s+3 \\ \\ \text{plugging this into the 1st equation we get} \\ \\ \dfrac{s}{4} - 2(2s+3) = 2 \\ \\ \dfrac{s}{4} - 4s - 6 = 2 \\ -\dfrac{15}{4}s = 8 \\ \\ s = -\dfrac{32}{15} \\ \\ t = 2s + 3 = -\dfrac{64}{15} + \dfrac{45}{15} = -\dfrac{19}{15} \\ \\ (s,t) = \left(-\dfrac{32}{15},~-\dfrac{19}{15}\right)$$

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Sep 4, 2018