In many cases, you get \(\displaystyle \dfrac{1}{y}\) on one side of the equation. Therfore, you need to get the y to the numerator on one side alone (as with the case in graphing equations).
What about in this case?
\(\displaystyle \dfrac{1}{y} = -x - E\)
\(\displaystyle \dfrac{1}{y}(y) = -x(y) - E(y)\)
\(\displaystyle 1 = -xy - Ey\)
\(\displaystyle 1 = y(-x - E)\)
What would be the next move?
What about in this case?
\(\displaystyle \dfrac{1}{y} = -x - E\)
\(\displaystyle \dfrac{1}{y}(y) = -x(y) - E(y)\)
\(\displaystyle 1 = -xy - Ey\)
\(\displaystyle 1 = y(-x - E)\)
What would be the next move?
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