Solve for u. 5/6u + 2 - u = 1/6u u = ____

Combine like terms: First, let's combine like terms by getting all the terms with u on one side and the constants on the other side. 5/6u - u - 1/6u = -2Find common denominator: To combine the u terms, we need to find a common denominator. Since 6 is the common denominator for 5/6u and 1/6u, we can rewrite -u as -6/6u. (5/6u - 6/6u) - 1/6u = -2Combine u terms: Now, combine the u terms. (5/6u - 6/6u - 1/6u) = -2 (5 - 6 - 1)/6u = -2Simplify numerator: Simplify the numerator. (-2)/6u = -2

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Solve for $u$ . $\newline$ $\frac{5}{6}u + 2 - u = \frac{1}{6}u$ $\newline$ $u =$ __

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

u

\newline

\frac{5}{6}u + 2 - u = \frac{1}{6}u

\newline

u =

Combine like terms: First, let's combine like terms by getting all the terms with $u$ on one side and the constants on the other side. $\frac{5}{6}u - u - \frac{1}{6}u = -2$
Find common denominator: To combine the $u$ terms, we need to find a common denominator. Since $6$ is the common denominator for $\frac{5}{6}u$ and $\frac{1}{6}u$ , we can rewrite $-u$ as $-\frac{6}{6}u$ . $\newline$ $\left(\frac{5}{6}u - \frac{6}{6}u\right) - \frac{1}{6}u = -2$
Combine $u$ terms: Now, combine the $u$ terms. $\left(\frac{5}{6}u - \frac{6}{6}u - \frac{1}{6}u\right) = -2$ $\left(\frac{5 - 6 - 1}{6}u\right) = -2$
Simplify numerator: Simplify the numerator. $\frac{-2}{6u} = -2$