Solve -7/y + 1/y = 7/10 - Socratic AI (ScanMath)

Evaluate

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

Find the domain

- \frac{7}{y} + \frac{1}{y} = \frac{7}{10}, y \neq = 0

Multiply both sides of the equation by LCD

(- \frac{7}{y} + \frac{1}{y}) \times 10 y = \frac{7}{10} \times 10 y

Simplify the equation

More Steps

- 60 = \frac{7}{10} \times 10 y

Simplify the equation

- 60 = 7 y

Swap the sides of the equation

7 y = - 60

Divide both sides

\frac{7 y}{7} = \frac{- 60}{7}

Divide the numbers

y = \frac{- 60}{7}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

y = - \frac{60}{7}

Check if the solution is in the defined range

y = - \frac{60}{7}, y \neq = 0

Solution

y = - \frac{60}{7}

Alternative Form

y = - 8. \dot{5} 7142 \dot{8}

7/y + 1/y = 7/10