Solve for the indicated variable. Use whichever method seems easiest. (2y+3x)^2=9 for y

asked Jun 13, 2015 11.5k views

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Solve for the indicated variable. Use whichever method seems easiest.

(2y+3x)^2=9 for y

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$(2y+3x)^2=9 \\ \\ √((2y+3x)^2)=\sqrt9\\ \\ 2y+3x=3\\ \\ 2y=3-3x\\ \\ \boxed{y=(3-3x)/(2) }$

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$(2y+3x)^2=9\iff2y+3x=3\ \vee\ 2y+3x=-3\\\\2y=-3x+3\ \vee\ 2y=-3x-3\\\\y=-(3)/(2)x+(3)/(2)\ \vee\ y=-(3)/(2)x-(3)/(2)$

MarkV answered Jun 19, 2015

by MarkV

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