Solve for q. sqrt ( 9q − 6) = sqrt 7q q = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(9q − 6))^2 = (sqrt(7q))^2 9q − 6 = 7qIsolate variable q: Isolate the variable q on one side of the equation. 9q − 7q = 6 2q = 6Divide by 2: Divide both sides of the equation by 2 to solve for q. 2q / 2 = 6 / 2 q = 3

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Solve for $q$ . $\newline$ $\sqrt{9q - 6} = \sqrt{7q}$ $\newline$ $q =$ _____

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Q. Solve for

q

\newline

\sqrt{9q - 6} = \sqrt{7q}

\newline

q =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{9q − 6})^2 = (\sqrt{7q})^2$ $\newline$ $9q − 6 = 7q$
Isolate variable $q$ : Isolate the variable $q$ on one side of the equation. $9q − 7q = 6$ $2q = 6$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $q$ . $\frac{2q}{2} = \frac{6}{2}$ $q = 3$