Solve for c. sqrt 6c = sqrt ( 7 − c) c = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(6c))^2 = (sqrt(7 - c))^2 6c = 7 - cAdd c terms: Add c to both sides to bring all the c terms to one side of the equation. 6c + c = 7 - c + c 7c = 7Divide by 7: Divide both sides by 7 to solve for c. 7c / 7 = 7 / 7 c = 1

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

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Q. Solve for

c

\newline

\sqrt{6c} = \sqrt{7 - c}

\newline

c =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{6c})^2 = (\sqrt{7 - c})^2$ $\newline$ $6c = 7 - c$
Add $c$ terms: Add $c$ to both sides to bring all the $c$ terms to one side of the equation. $\newline$ $6c + c = 7 - c + c$ $\newline$ $7c = 7$
Divide by $7$ : Divide both sides by $7$ to solve for $c$ . $\frac{7c}{7} = \frac{7}{7}$ $c = 1$