Respuesta :
(9u-11)/2=(19u+11)/3
times both sides by 6 since that is the least common denomenator
3(9u-11)=2(19u+11)
distribute
27u-33=38u+22
minus 27u both sides
-33=11u+22
minus 22 both sides
-55=11u
divide both sides by 11
-5=u
u=-5
times both sides by 6 since that is the least common denomenator
3(9u-11)=2(19u+11)
distribute
27u-33=38u+22
minus 27u both sides
-33=11u+22
minus 22 both sides
-55=11u
divide both sides by 11
-5=u
u=-5
[tex]\displaystyle\\ \frac{9u-11}{2} = \frac{19u+11}{3}\\\\ \frac{3(9u-11)}{3\times 2} = \frac{2(19u+11)}{2\times 3}\\\\ \frac{27u-33}{6} = \frac{38u+22}{6}~~~~~\Big|\times 6 \\\\ 27u-33=38u+22\\\\ 27u-38u =22+33\\\\ -11u = 55\\\\ u = \frac{55}{-11} = \boxed{-5} [/tex]