Question

Rezolvati proportile

a) 3x-1/16=5/4 b) 2x+4/16=7/8 c) 5/2=3x+1/10 d) 11/2=7x+14 e) 7/3=5x+4/6 f) 5x-4/12=4/3 g) 3/2=x+1/6 h) 5/4=3x+1/8 i) 15/3x-2=3/2 j) 32/2x+4=4/3 k) 20/3x+1=5/4 l) 15/7x+3=5/8

VA ROG FOARTE MULT ! URRRRRRRGENT VA ROG!

Answer 1

a)
3x-1/16=5/4
3x=5/4+1/16
3x=4×5+1 totul supra/16
3x=21/16
x=21/16: 3/1
x=21/16 ×1/3
x=7×1 totul supra/16×1
x=7/16







b)
2x+4/16=7/8
2x=7/8 -4/16
2x=2×7-4 totul supra/16
2x=10/16
x=10/16 :2/1
x=10/16 ×1/2
x=5×1 totul supra/16×1
x=5/16




c)
5/2=3x+1/10
3x=5/2-1/10
3x=5×5-1 totul supra/10
3x=24/10
x=24/10 :3/1
x=24/10 ×1/3
x=8×1 totul supra/10×1
x=8/10 (simplificat cu 2)
x=4/5





d)
11/2=7x+14
7x=11/2-14/1
7x=11-2×14 totul supra/2
7x=11-28 supra/2
7x= - 17/2
x= -17/2 : 7/1
x= -17/2 ×1/7
x= - 17/14





e)
7/3=5x+4/6
5x=7/3-4/6
5x=2×7-4 totul supra/6
5x=10/6
x=10/6 : 5/1
x=10/6 × 1/5
x=2×1 totul supra /6×1
x=2/6 (simplificat cu 2)
x=1/3






f)
5x-4/12=4/3
5x=4/3+4/12
5x=4×4+4 totul supra /12
5x=20/12
x=20/12 :5/1
x=20/12 ×1/5
x=4×1 totul supra/12×1
x=4/12 (simplificat cu 4)
x=1/3






g)
3/2=x+1/6
x=3/2-1/6
x=3×3-1 totul supra/6
x=8/6 (simplificat cu 2)
x=4/3







h)
5/4=3x+1/8
3x=5/4-1/8
3x=2×5-1 totul supra/8
3x=9/8
x=9/8 : 3/1
x=9/8 ×1/3
x=3×1 totul supra/8×1
x=3/8








i)
15/3x-2=3/2
15/3x=3/2 +2/1
15/3x=3+2×2 totul supra/2
15/3x=7/2
3x= 15/1 :7/2
3x=15/1 ×2/7
3x=15×2 totul supra/1×7
3x=30/7
x=30/7 :3/1
x=30/7 ×1/3
x=10×1 totul supra/7×1
x=10/7






j)
32/2x+4=4/3
32/2x=4/3-4/1
32/2x=4-3×4 totul supra/3
32/2x=4-12 totul supra/3
32/2x= - 8/3
2x= 32/1 : (-8/3)
2x=32/1 ×( -3/8)
2x= - 4×3 totul supra/1×1
2x= -12
x= (-12):2
x= -6






k)
20/3x+1=5/4
20/3x= 5/4 -1/1
20/3x=5-4×1 totul supra/4
20/3x=1/4
3x= 20/1 : 1/4
3x=20/1 ×4/1
3x=80
x=80/3








l)
15/7x+3=5/8
15/7x=5/8 -3/1
15/7x= 5-8×3 totul supra/8
15/7x= -19/8
7x = 15/1 :(-19/8)
7x= -15/1 ×8/19
7x= -15×8 totul supra/1×19
7x= -120/19
x= -120/19 :7/1
x= -120/19 ×1/7
x= -120/133