Solve for k. sqrt ( 10 + 5k) = sqrt 7k k = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(10 + 5k))^2 = (sqrt(7k))^2 10 + 5k = 7kSubtract 5k: Subtract 5k from both sides to get all k terms on one side. 10 + 5k - 5k = 7k - 5k 10 = 2kDivide by 2: Divide both sides by 2 to solve for k. 10 / 2 = 2k / 2 5 = k

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Solve for $k$ . $\newline$ $\sqrt{10 + 5k} = \sqrt{7k}$ $\newline$ $k =$ _____

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Q. Solve for

k

\newline

\sqrt{10 + 5k} = \sqrt{7k}

\newline

k =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{10 + 5k})^2 = (\sqrt{7k})^2$ $\newline$ $10 + 5k = 7k$
Subtract $5$ k: Subtract $5k$ from both sides to get all $k$ terms on one side. $\newline$ $10 + 5k - 5k = 7k - 5k$ $\newline$ $10 = 2k$
Divide by $2$ : Divide both sides by $2$ to solve for $k$ . $\frac{10}{2} = \frac{2k}{2}$ $5 = k$