1)9/14х+18=-2/3х+17; 2)-8/15х-11=4/9х+11.

1) [latex]frac{9}{14}x + 18 = -frac{2}{3}x + 17\ frac{9}{14}x + frac{2}{3}x = 17 - 18\ frac{9*3+2*14}{14*3}x = -1\ 55x = -1*42\ x = -frac{42}{55}\ [/latex] 2)[latex]-frac{8}{15}x-11=frac{4}{9}x+11\ -frac{8}{15}x-frac{4}{9}x=11+11\ -frac{8*3+4*5}{45}x=22\ -frac{44}{45}x=22\ -44x=22*45\ x=-frac{22*45}{44}\ x=-frac{45}{2}=-22frac{1}{2}\[/latex]