What is the answer to 2+6/y = 7/5 ?

The answer to 2+6/y = 7/5 is y=-10

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2+6/y = 7/5

2 + \frac{6}{y} = \frac{7}{5}

y = - 10

Solution steps

2 + \frac{6}{y} = \frac{7}{5}

Multiply by LCM

10 y + 30 = 7 y

Move

30

to the right side

10 y = 7 y - 30

Move

7 y

to the left side

3 y = - 30

Divide both sides by

3

y = - 10

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - 10

\frac{1}{( x + 1 ) ^{3}} = 0

\frac{x}{2} - \frac{3}{x} = 1

\frac{1}{x} + \frac{1}{x} = 10

\frac{x}{2} + 1 = \frac{24}{x}

\frac{9 + 2}{3 x} = 81