Question

ECUACIONES
1. (9x-1)/13 - (5x-8)/4 = x+6
2. 5x - (2x+1)/2 = 3x + (15x-2)/4

Answer 1

1. (9x - 1)/13 - (5x - 8)/4 = x + 6 [Multiplicamos por 52, para no tener fracciones]

52(9x - 1)/13 - 52(5x - 8)/4 = 52(x + 6)

4(9x - 1) - 13(5x - 8) = 52x + 312

36x - 4 - 65x + 104 = 52x + 312

36x - 65x - 4 + 104 = 52x + 312

-29x + 100 = 52x + 312

100 - 312 = 52x + 29x

-212 = 81x

-212/81 = x

∴ x = -212/81

2. 5x - (2x + 1)/2 = 3x + (15x - 2)/4 [Multiplicamos por 4, para no tener fracciones]

4(5x) - 4(2x + 1)/2 = 4(3x) + 4(15x - 2)/4

20x - 2(2x + 1) = 12x + 1(15x - 2)

20x - 4x + 2 = 12x + 15x - 2

16x + 2 = 27x - 2

2 + 2 = 27x - 16x

4 = 11x

4/11 = x

∴ x = 4/11

Answer 2

✔9x-1/13-5x-8/4=x+6
4(9x-1)-13 (5x-8)=52x+312
36x-4-65x+104=312+4-104
36×-65x-52×=312+4-104
81x=212
X=-212/81
✔5×-(2×+1)/2=3×+(15×-2)/4
20×-4×-2=12×+15×-2
20x-4×-12×-15×=-2+2
11×=0
×=0/11
×=0