Subjects algebra

Make Y Subject 3A1024

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1. We are asked to make $y$ the subject of the equations $7x - 2y + 11 = 0$ and $6x + y + 4 = 0$. 2. For the first equation $7x - 2y + 11 = 0$, isolate $y$: $$7x - 2y + 11 = 0$$ Move $7x$ and $11$ to the right side: $$-2y = -7x - 11$$ Divide both sides by $-2$: $$y = \frac{-7x - 11}{-2}$$ Show cancellation: $$y = \frac{\cancel{-}7x + \cancel{-}11}{\cancel{-}2} = \frac{7x + 11}{2}$$ So, $$y = \frac{7x + 11}{2}$$ 3. For the second equation $6x + y + 4 = 0$, isolate $y$: $$6x + y + 4 = 0$$ Move $6x$ and $4$ to the right side: $$y = -6x - 4$$ This is already solved for $y$. Final answers: For $7x - 2y + 11 = 0$, $$y = \frac{7x + 11}{2}$$ For $6x + y + 4 = 0$, $$y = -6x - 4$$