a.[tex]\frac{x-1}{2}=\frac{-1*4+1}{4}[/tex]
[tex]\frac{x-1}{2}=\frac{-3}{4}[/tex] Produsul mezilor si al extremilor (Inmultirea pe diagonala)
4*(x-1)=-6 => 4x-4=-6 => 4x=-2=> x=-2/4=-1/2
b.3x-2=6=>3x=8=>x=8/3
c.[tex]7 intreg\frac{3}{4}=\frac{7*4+3}{4}=7 intreg\frac{3}{4}=\frac{31}{4}[/tex]
3*(2x-1)=[tex]\frac{31}{4}[/tex]
6x-3=[tex]\frac{31}{4}[/tex] | * 4 inmultim toata ecuatia cu 4 pentru a scapa de numitor sau aduci fiecare numar la acelasi numitor...
24x-12=31
24x=43
x=43/24
d.6intreg[tex]\frac{5}{8}[/tex]+1intreg [tex]\frac{7}{12}=[/tex]
[tex]\frac{6*8+5}{8}+\frac{1*12+7}{12}=[/tex]
[tex] \frac{53}{8}+ \frac{19}{12}= \frac{53*3}{8*3}+\frac{19*2}{12*2}=\frac{159}{24}+\frac{38}{24}=\frac{159+38}{24}=\frac{197}{24}[/tex]
e.[tex] \frac{-11}{12} + \frac{7}{8}= \frac{-11*2}{12*2} + \frac{7*3}{8*3}= \frac{-22}{24} + \frac{21}{24}= \frac{-22+21}{24}= \frac{-1}{24} [/tex]
