Solve for y. sqrt ( –2 + 9y) = sqrt 8y y = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–2 + 9y))^2 = (sqrt(8y))^2 –2 + 9y = 8yCombine y terms: Since we have y on both sides of the equation, we need to get all the y terms on one side to solve for y. 9y - 8y = 2 y = 2Check solution: Check the solution by substituting y back into the original equation to ensure both sides are equal. sqrt(–2 + 9(2)) = sqrt(8(2)) sqrt(16) = sqrt(16) 4 = 4

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Solve for $y$ . $\newline$ $\sqrt{\,-2 + 9y} = \sqrt{\,8y}$ $\newline$ $y = \,\_\_\_\_$

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Q. Solve for

y

\newline

\sqrt{\,-2 + 9y} = \sqrt{\,8y}

\newline

y = \,\_\_\_\_

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-2 + 9y})^2 = (\sqrt{8y})^2$ $\newline$ $-2 + 9y = 8y$
Combine y terms: Since we have $y$ on both sides of the equation, we need to get all the $y$ terms on one side to solve for $y$ . $9y - 8y = 2$ $y = 2$
Check solution: Check the solution by substituting $y$ back into the original equation to ensure both sides are equal. $\newline$ $\sqrt{(–2 + 9(2))} = \sqrt{(8(2))}$ $\newline$ $\sqrt{(16)} = \sqrt{(16)}$ $\newline$ $4 = 4$