Solve for j. sqrt 5j = sqrt ( 8j − 9) j = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(5j))^2 = (sqrt(8j - 9))^2 5j = 8j - 9Subtract to isolate j: Subtract 8j from both sides to get all the j terms on one side. 5j - 8j = 8j - 8j - 9 -3j = -9Divide to solve for j: Divide both sides by -3 to solve for j. (-3j)/(-3) = (-9)/(-3) j = 3

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Solve for $j$ . $\newline$ $\sqrt{5j} = \sqrt{8j - 9}$ $\newline$ $j =$ _____

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Q. Solve for

j

\newline

\sqrt{5j} = \sqrt{8j - 9}

\newline

j =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{5j})^2 = (\sqrt{8j - 9})^2$ $\newline$ $5j = 8j - 9$
Subtract to isolate $j$ : Subtract $8j$ from both sides to get all the $j$ terms on one side. $\newline$ $5j - 8j = 8j - 8j - 9$ $\newline$ $-3j = -9$
Divide to solve for $j$ : Divide both sides by $-3$ to solve for $j$ . $\frac{-3j}{-3} = \frac{-9}{-3}$ $j = 3$