Solve for w. sqrt 9w = sqrt ( 10w − 7) w = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(9w))^2 = (sqrt(10w - 7))^2 9w = 10w - 7Subtract 10w: Subtract 10w from both sides to get all the w terms on one side. 9w - 10w = 10w - 10w - 7 -1w = -7Divide by -1: Divide both sides by -1 to solve for w. -1w / -1 = -7 / -1 w = 7

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Solve for $w$ . $\newline$ $\sqrt{9w} = \sqrt{10w - 7}$ $\newline$ $w =$ _____

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Q. Solve for

w

\newline

\sqrt{9w} = \sqrt{10w - 7}

\newline

w =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{9w})^2 = (\sqrt{10w - 7})^2$ $\newline$ $9w = 10w - 7$
Subtract $10w$ : Subtract $10w$ from both sides to get all the $w$ terms on one side. $\newline$ $9w - 10w = 10w - 10w - 7$ $\newline$ $-1w = -7$
Divide by $-1$ : Divide both sides by $-1$ to solve for $w$ . $\newline$ $-1w / -1 = -7 / -1$ $\newline$ $w = 7$