Question

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eb7fdac8b72cfb74c40a87a98d8f40cb.docx

Answer 1

Ecuaciones de primer grado con una incógnita con racionales:

a) (x-2)/3 -1 = (2x-1)/4

mcm (3,4) = 3*2² = 12

4(x-2) -12 = 3(2x-1)

4x-8-12 =6x-3

4x-6x = 8+12-3

-2x = 17

x = -17/2

b) (4x-1)/6 +2 = (3x-1) /8

mcm(6,8) = 3*2³ = 24

4(4x-1) + 48 = 3(3x-1)

16x-4 +48 = 9x-3

16x-9x = -3-48+4

3x= -47

x= -47/3

c) (3x-2)/4 +5 = (x+3)/2

mcm(4,2) = 4

3x-2+20 = 2(x-3)

3x-2+20 = 2x-6

x = -24

d) 3(x-2)/6 +2(x+1)/8 +(3-x)/10 = 5

mcm( 6,8,10) = 3*5*2³ = 120

60(x-2) + 30 (x+1) +12(3-x) = 5*120

60x-120 +30x+30 + 36 -12x = 600

60x+30x-12x = 600+120-30-36

78x= 654

x = 654/78 = 327/39