Solve for n. sqrt ( –6n + 7) = sqrt n n = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–6n + 7))^2 = (sqrt(n))^2 –6n + 7 = nIsolate variable n: Isolate the variable n on one side of the equation. Add 6n to both sides to move the terms involving n to one side. –6n + 7 + 6n = n + 6n 7 = 7nDivide by 7: Divide both sides by 7 to solve for n. 7 / 7 = 7n / 7 1 = n

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Solve for $n$ . $\newline$ $\sqrt{(-6n + 7)} = \sqrt{n}$ $\newline$ $n =$ _____

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Q. Solve for

n

\newline

\sqrt{(-6n + 7)} = \sqrt{n}

\newline

n =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-6n + 7})^2 = (\sqrt{n})^2$ $\newline$ $-6n + 7 = n$
Isolate variable $n$ : Isolate the variable $n$ on one side of the equation. $\newline$ Add $6n$ to both sides to move the terms involving $n$ to one side. $\newline$ $–6n + 7 + 6n = n + 6n$ $\newline$ $7 = 7n$
Divide by $7$ : Divide both sides by $7$ to solve for $n$ . $\frac{7}{7} = \frac{7n}{7}$ $1 = n$