Solve for c. sqrt ( 7c − 8) = sqrt 5c c = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(7c − 8))^2 = (sqrt(5c))^2 7c − 8 = 5cSubtract to combine terms: Subtract 5c from both sides to get the c terms on one side. 7c − 5c − 8 = 5c − 5c 2c − 8 = 0Add to isolate term: Add 8 to both sides to isolate the term with c. 2c − 8 + 8 = 0 + 8 2c = 8Divide to solve for c: Divide both sides by 2 to solve for c. 2c / 2 = 8 / 2 c = 4

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Solve for $c$ . $\newline$ $\sqrt{7c - 8} = \sqrt{5c}$ $\newline$ $c =$ _____

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Q. Solve for

c

\newline

\sqrt{7c - 8} = \sqrt{5c}

\newline

c =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{7c − 8})^2 = (\sqrt{5c})^2$ $\newline$ $7c − 8 = 5c$
Subtract to combine terms: Subtract $5c$ from both sides to get the $c$ terms on one side. $\newline$ $7c - 5c - 8 = 5c - 5c$ $\newline$ $2c - 8 = 0$
Add to isolate term: Add $8$ to both sides to isolate the term with $c$ . $\newline$ $2c - 8 + 8 = 0 + 8$ $\newline$ $2c = 8$
Divide to solve for c: Divide both sides by $2$ to solve for $c$ . $\frac{2c}{2} = \frac{8}{2}$ $c = 4$