Solve for t. sqrt –8t = sqrt ( –t + 7) t = _____

Square Both Sides: Square both sides of the equation to eliminate the square roots. (sqrt(–8t))^2 = (sqrt(–t + 7))^2 –8t = –t + 7Add t to Both Sides: Add t to both sides to start isolating the variable t. –8t + t = –t + t + 7 –7t = 7Divide by -7: Divide both sides by –7 to solve for t. –7t / –7 = 7 / –7 t = –1Check Solution: Check the solution by substituting t back into the original equation. sqrt(–8(–1)) = sqrt(–(–1) + 7) sqrt(8) = sqrt(1 + 7) sqrt(8) = sqrt(8) Both sides are equal, so the solution t = –1 is correct.

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Solve for $t$ . $\newline$ $\sqrt{\,-8t} = \sqrt{\,-t + 7}$ $\newline$ $t = \,\_\_\_\_$

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Q. Solve for

t

\newline

\sqrt{\,-8t} = \sqrt{\,-t + 7}

\newline

t = \,\_\_\_\_

Square Both Sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-8t})^2 = (\sqrt{-t + 7})^2$ $\newline$ $-8t = -t + 7$
Add $t$ to Both Sides: Add $t$ to both sides to start isolating the variable $t$ . $\newline$ $-8t + t = -t + t + 7$ $\newline$ $-7t = 7$
Divide by $-7$ : Divide both sides by extendash{} $7$ to solve for $t$ . $\frac{-7t}{-7} = \frac{7}{-7}$ $t = -1$]
Check Solution: Check the solution by substituting $t$ back into the original equation.\[\sqrt{(–8(–1))} = \sqrt{(–(–1) + 7)} $\sqrt{8} = \sqrt{1 + 7}$ $\sqrt{8} = \sqrt{8}$ Both sides are equal, so the solution $t = –1$ is correct.