Question

alguien que pueda resolver estas ecuaciones de primer grado?
a) 10y-200-20y=30y+200
b) 20-100x+1000=-200x-2000
c) x-1/2= -x+1/2
d) 2x-10/2=3x-50/4

ayudenme por favor!!

Answer 1

a) 10y-200-20y=30y+200
- 10y - 200 = 30y + 200
- 10y - 30y = 200 + 200
- 40y = 400
y = 400/-40
y = - 10



b) 20-100x+1000=-200x-2000
- 100x + 1020 = - 200x - 2000
- 100x + 200x = - 2000 - 1020
100x = - 3020
x = - 3020/100
x = - 151/5



c) x-1/2= -x+1/2
(x * 2 - 1)/2 = (- x * 2 + 1)/2
(2x - 1)/2 = (- 2x + 1)/2
2 (2x - 1) = 2 (- 2x + 1)
4x = 2
x = 2/4
x = 1/2




d) 2x-10/2=3x-50/4
2x - 5 = (6x - 25)/2
4x - 10 = 6x - 25
4x - 6x = - 25 + 10
- 2x = - 15
x = -15/-2
x = 15/2