What is the answer to u+2/3 u-1+1=6-u/u+1.2 ?

The answer to u+2/3 u-1+1=6-u/u+1.2 is u=3.72

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u+2/3 u-1+1=6-u/u+1.2

u + \frac{2}{3} u - 1 + 1 = 6 - \frac{u}{u} + 1.2

u = 3.72

Solution steps

u + \frac{2}{3} u - 1 + 1 = 6 - \frac{u}{u} + 1.2

Subtract

- 1 + 1

from both sides

u + \frac{2}{3} u - 1 + 1 - (- 1 + 1) = 6 - \frac{u}{u} + 1.2 - (- 1 + 1)

Simplify

u + \frac{2}{3} u = 6.2

Multiply both sides by

3

5 u = 18.6

Divide both sides by

5

u = 3.72

Verify Solutions

Find undefined (singularity) points:

u = 0

Combine undefined points with solutions:

u = 3.72

\frac{7 y + 4}{y + 2} = \frac{- 4}{3}

\frac{( 9 x + 7 )}{2 - ( x - \frac{( x - 2 )}{2} )} = 36

\frac{x ^{2} + 1}{( x ^{2} ) - 5 ( a + \frac{1}{x} ) + 2} = 0

\frac{\frac{22}{15}}{( \frac{1}{3} - 5 x )} = - \frac{22}{5}

\frac{7}{15 \cdot x + 3} = \frac{3}{5}

What is the answer to u+2/3 u-1+1=6-u/u+1.2 ?
The answer to u+2/3 u-1+1=6-u/u+1.2 is u=3.72
Solve for u: u+2/3 u-1+1=6-u/u+1.2
The solution is u=3.72