Solve for t. sqrt ( 7t + 2) = sqrt 9t t = _____

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

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Solve for $t$ . $\newline$ $\sqrt{7t + 2} = \sqrt{9t}$ $\newline$ $t =$ _____

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Precalculus

Solve radical equations

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Q. Solve for

t

\newline

\sqrt{7t + 2} = \sqrt{9t}

\newline

t =

_____

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