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

\[(2y + 3x)^2 = 9\] for \(y\)

( 2 y + 3 x ) 2 = 9 ⟺ 2 y + 3 x = 3 ∨ 2 y + 3 x = − 3 2 y = − 3 x + 3 ∨ 2 y = − 3 x − 3 y = − 2 3 ​ x + 2 3 ​ ∨ y = − 2 3 ​ x − 2 3 ​

Answered by Anonymous | 2024-06-10

( 2 y + 3 x ) 2 = 9 ( 2 y + 3 x ) 2 ​ = 9 ​ 2 y + 3 x = 3 2 y = 3 − 3 x y = 2 3 − 3 x ​ ​

Answered by Ryan2 | 2024-06-10

To solve for y in the equation ( 2 y + 3 x ) 2 = 9 , we take the square root of both sides, leading to two linear equations for y . The solutions are y = 2 3 ​ − 2 3 ​ x and y = − 2 3 ​ − 2 3 ​ x . Each solution corresponds to a different line in the coordinate plane.
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Answered by Anonymous | 2024-12-24