Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 524: 34

x = -9

$\frac{3x}{5}$-$\frac{x-6}{3}$=-$\frac{2}{5}$ 15($\frac{3x}{5}$-$\frac{x-6}{3}$=15(-$\frac{2}{5}$) 15$\frac{3x}{5}$-15$\frac{x-6}{3}$=-3*2 3*3x-5(x-6)=-6 9x-5x+30=-6 4x=-6-30 4x=-36 x=-9 The solution is -9 Check Let x=-9 $\frac{3(-9)}{5}$-$\frac{-9-6}{3}$=-$\frac{2}{5}$ $\frac{-27}{5}$-$\frac{-15}{3}$=-$\frac{2}{5}$ 15$\frac{-27}{5}$-15$\frac{-15}{3}$=-15$\frac{2}{5}$ 3*(-27)-5(-15)=-3*2 -81+75=-6 -6=-6