a) [tex]125+ \frac{x}{4} - \frac{1}{4} =200[/tex]
~aducem la acelasi numitor(4)
[tex] \frac{500}{4} + \frac{x}{4} - \frac{1}{4} =200[/tex]
[tex] \frac{500-1+x}{4} =200[/tex]
[tex]499+x=200*4[/tex]
[tex]x=800-499[/tex]
x= 301
b) [tex] (\frac{25}{8} -x)- \frac{11}{10} =0[/tex]
[tex] \frac{25}{8} -x= \frac{11}{10} [/tex]
~aducem la acelasi numitor (8)
[tex] \frac{25-8x}{8} = \frac{11}{10} [/tex]
[tex]25-8x=8* \frac{11}{10} [/tex]
[tex]-8x= \frac{88}{10} -25[/tex]
[tex]-8x= \frac{88-250}{10} [/tex]
[tex]-8x=- \frac{162}{10} | *(-1)[/tex]
[tex]8x= \frac{162}{10} [/tex] |:8
[tex]x= \frac{81}{40} [/tex]
c) [tex] \frac{x-2}{3} - \frac{5}{6} =\frac{1}{2} [/tex]
aducem la acelasi numitor (6)
[tex] \frac{2x-4}{6} - \frac{5}{6} = \frac{3}{6} [/tex]
[tex] \frac{2x-4-5}{6} = \frac{3}{6} [/tex] | * 6
2x-9=3
2x=3+9
2x=12
x=6
