Question

Rezolvati in Q ecuatiile:
x+5/5-x+3/4=3x+10-x+1/4
x/5+x+4/10+x-1/6-1/5(x+3)+11/30
5x-6/3-1/2(4x-7)=21/6-1/3(4x-10)
2x-5/4+x-7?3=4x+11/4-7 intrg1/12
2x-1/3-x-5/2=5x+8/6-2x-7/2
3x+4-5x-9/2=3x+10/4-x-6/2
VREAU TOATA REZOLVAREA VA ROG!!!!!

Answer 1

1. x+5/5-x+3/4=3x+10-x+1/4
1+3/4+10-1/4=2x  aducem la acelasi numitor comun (4)
4+3+40-1=8x
46=8x
x=23/4

2. x/5+x+4/10+x-1/6-1/5(x+3)+11/30
x/5+x+x-1/5(x+3)=1/6-11/30-4/10
 x/5+x+x-x/5-3/5=1/6-11/30-4/10
 x/5+x+x-x/5=1/6-11/30-4/10+3/5
2x=1/6-11/30-4/10+3/5  aducem la acelasi numitor comun (30)
60x= 5-11-4×3+6×3
60x=-6-12+18
x=0

 3. 5x-6/3-1/2(4x-7)=21/6-1/3(4x-10)
5x-6/3-4x/2+7/2=21/6-4x/3+10/3
5x-2x+4x/3=21/6+10/3+6/3-7/2
3x-4x/3=21/6+16/3-7/2    aducem la acelasi numitor comun (6)
3×3x-2×4x=21+2×16-3×7
9x-8x=21+32-21
x=32

4. 2x-5/4+x-7?3=4x+11/4-7 intrg1/12    7 intrg1/12=(7×2+1)/12 se introduc intregii in fractie
2x-5/4+x-7/3=4x+11/4-15/12 
-5/4-7/3-11/4+15/12=4x-3x  aducem la acelasi numitor comun (12)
-3×5-4×7-3×11+15=12x
-15-28-33+15=12x
-61=12x
x=- 61/12


5. 2x-1/3-x-5/2=5x+8/6-2x-7/2
2x-x-5x+2x=8/6-7/2+1/3+5/2
-2x=4/3+1/3-7/2+5/2
-2x=5/3-1
1-5/3=2x  aducem la acelasi numitor comun (3)
3-5=6x
-2=6x
-1=3x
x=-1/3

6.  3x+4-5x-9/2=3x+10/4-x-6/2
3x-5x-3x+x=10/4-6/2+9/2-4
-4x=5/2-6/2+9/2-4
-4x=0
x=0