How do you solve \frac { x + 6} { x } = \frac { 10} { 7}?

1 Answer
Jun 20, 2018

Resolve a linear equation and x = - \frac{2}{3}

Explanation:

\frac{x+6}{x}=\frac{10}{7} condition x \ne 0

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

7*(x+6)=7x*10

7*x+7*6=70x

7x+42=70x

7x-70x = -42

63x = -42

x = \frac{-42}{63}

x = \frac{-6*7}{9*7}

x = \frac{-6}{9}

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

x = - \frac{2}{3}