Solve for w. sqrt 8w = sqrt ( 9w − 7) w = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(8w))^2 = (sqrt(9w - 7))^2 8w = 9w - 7Subtract 9w: Subtract 9w from both sides to get all the w terms on one side. 8w - 9w = 9w - 9w - 7 -1w = -7Divide by -1: Divide both sides by -1 to solve for w. w = -7 / -1 w = 7

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Solve for $w$ . $\newline$ $\sqrt{8w} = \sqrt{9w - 7}$ $\newline$ $w =$ _____

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Q. Solve for

w

\newline

\sqrt{8w} = \sqrt{9w - 7}

\newline

w =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{8w})^2 = (\sqrt{9w - 7})^2$ $\newline$ $8w = 9w - 7$
Subtract $9w$ : Subtract $9w$ from both sides to get all the $w$ terms on one side. $\newline$ $8w - 9w = 9w - 9w - 7$ $\newline$ $-1w = -7$
Divide by $-1$ : Divide both sides by $-1$ to solve for $w$ . $w = \frac{-7}{-1}$ $w = 7$