Question

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

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

Answer 1

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

Answer 2

`(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)`