Question

AUXILIO ALGUIEN QUE ME AYUDE PORFA !! Resuelva las siguientes ecuaciones de primer grado y compruebe su solución

x-1 sobre 4 - x-5 sobre 36 = x +5 sobre 9

x sobre 6 +5 = 1 sobre 3 – x

Answer 1

{(x-1)/4} - {(x-5/36)} = (x+5)/9
x/4 - 1/4 - x/36 + 5/36 = x/9 + 5/9
x/4 - x/36 - x/9 = 5/9 + 1/4 - 5/36
9x/36 - x/36 - 4x/36 = 20/36 + 9/36 - 5/36
9x - x - 4x = 20 + 9 - 5
4x = 24
x = 6


x/(6+5) = 1/(3-x)
x/11 = 1/(3-x)
(3-x)*(x/11) = 1
(3x/11) - (x²/11) = 1
x² + 3x = 11
x² + 3x -11 = 0
x = {-3±√(3²-(4*1*-11))} / (2*1)
x = {-3±√(9+44)} / 2
x = {-3±√53} / 2
x = {-3±7.28} / 2
x₁ = {-3-7.28} / 2 = -10.28/2 = -5.14
x₂ = {-3+7.28} / 2 = 4.28/2 = 2.14

Hay dos posibles soluciones:
x₁ = -5.14
x₂ = 2.14

Answer 2

x-1/4 - x-5/36 =x+5/9
36x-36-4x+20=x+5
144 9
36x-36-4x+20=16x+80
32x-16=16x+80
16x=96
x=6
x/6 +5 =1/3-x
3x+90-x.x-30=6
x.x-3x+60=6
x.x-3x+54=0
x=-9 x=6