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

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Answer 1 · 2018-06-20T16:52:29

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

#\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}#