Respuestas
Explicación paso a paso:
1) 3+10x-15-4=4x-12+2
10x-4x= -12+2+15+4-3
6x=6
x=6/6
x=1
2)-1-12x+3+6=2+6x+12+30
-12x-6x=2+12+30+1-3-6
-18x=36
x= -36/18
x= -2
3)5/2+8/5x-12/20-1/5=3/2x+11/5
8/5x-3/2x=11/5+12/20+1/5-5/2
1/10x=10/20
x=5
4)8/3x+4/3+28/10x-42/10+3=55/12x+44/12
8/3x+14/5x-55/12x=44/12-4/3+42/10-3
-91/60x=212/60
x= -212/91
Explicación paso a paso:
- 3 + 5(2X – 3) – 4 = 4(X – 3) + 2
- – 1 – 3(4X – 1) + 6 = 2 + 3(2X + 4) + 30
- 5/2 + ⅘(2X – ¾) – ⅕ = 3/2X + 11/5
- 4/3(2X + 1) + 7/2(⅘X – 6/5) + 3 = 11/12(5X+4)
desarrollo;
1. ejercicio
3 + 5(2X – 3) – 4 = 4(X – 3) + 2
5(2x – 3) – 1 = 4x – 12 + 2
10x – 15 – 1 = 4x – 12 + 2
10x – 4x = – 12 + 2 + 15 + 1
6x = 6
x = 6/6
X = 1
2. ejercicio
– 1 – 3(4X – 1) + 6 = 2 + 3(2X + 4) + 30
–3(4x – 1) + 5 = 3(2x + 4) + 32
– 12x + 3 + 5 = 6x + 12 + 32
–12x – 6x = 12 + 32 – 8
–18x = 36
x = –36/18
X = –2
3. ejercicio
5/2 + ⅘(2X – ¾) – ⅕ = 3/2X + 11/5
8x / 5 – 3/5 + 23/10 = 3/2X + 11/5 /×50
10×8X – 10×3 + 5×23 = 25×3X + 10×11
80x – 30 + 115 = 75x + 110
80x – 75x = 110 – 115 + 30
5x = 25
X = 25 / 5
X = 5
4. ejercicio
4/3(2X + 1) + 7/2(⅘X – 6/5) + 3 = 11/12(5X+4)
• 7/2 y 4/3 multiplicamos por el binomio
4(2X + 1) / 3 + 7(4x – 6/5) / 2 + 3 = 11/12(5x+4)
4(2X + 1) / 3 + 7(4x – 6/5) / 2 = 11/12(5x+4) – 3
4(2X + 1) / 3 + 7(4x – 6/5) / 2 = ⅔ + 55x/12
4(2X + 1) / 3 + 7(4x – 6/5) / 2 – 55x/12 = ⅔
• MCM : 2 ; 3 ; 12 = 12
• reescribimos las fracciones en función del MCM
16(2x+1) / 12 + 42(4x – 6)/5/12 –55x / 12
16(2x+1) + 42(4x–6)/5 – 55x. / 12 = ⅔
53x – 172 / 60 = ⅔
( 53x – 172 ) = 60 × ⅔
53x – 172 = 40
53x = 40 + 172
53x = 212
X = 212 / 53
X = 4