What is the answer to (y-1)/(3y+7)= 1/10 ?

The answer to (y-1)/(3y+7)= 1/10 is y= 17/7

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(y-1)/(3y+7)= 1/10

\frac{y - 1}{3 y + 7} = \frac{1}{10}

y = \frac{17}{7}

Decimal Notation

y = 2.42857 \dots

Solution steps

\frac{y - 1}{3 y + 7} = \frac{1}{10}

Cross multiply

10 y - 10 = 3 y + 7

Move

10

to the right side

10 y = 3 y + 17

Move

3 y

to the left side

7 y = 17

Divide both sides by

7

y = \frac{17}{7}

Verify Solutions

Find undefined (singularity) points:

y = - \frac{7}{3}

Combine undefined points with solutions:

y = \frac{17}{7}

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

\frac{x}{10} = \frac{2}{5 x}

\frac{1}{4} = \frac{7}{a}

\frac{x + 6}{x} = \frac{10}{7}

\frac{x + 2}{6} - \frac{4 - x}{x} = 1

What is the answer to (y-1)/(3y+7)= 1/10 ?
The answer to (y-1)/(3y+7)= 1/10 is y= 17/7
Solve for y: (y-1)/(3y+7)= 1/10
The solution is y= 17/7