Question

Halla la solución de cada ecuación.
a.
$\frac{x - 2}{5} + \frac{x}{4 } = 5$

b.
$\frac{x - 2}{9} + \frac{x - 7}{3} = - 4$
c.
$\frac{2x - 3}{4} + \frac{2x - 3}{4} = - 1$
​

Answer 1

Respuesta:

a) x = 12 b) - 13/4 c) x = 1/2

Explicación paso a paso:

x - 2 x

------- + ----- = 5

5 4

9x -8

-------- = 5

20

9x - 8 = 5 • 20

9x - 8 = 100

9x = 100 + 8

9x = 108

x = 108/9

x = 12

b) x - 2 x - 7

-------- + -------- = - 4

9 3

4x - 23

----------- = - 4

9

4x - 23 = (- 4) • 9

4x - 23 = - 36

4x = - 36 + 23

4x = - 13

x = - 13/4

2x - 3 2x - 3

--------- + ---------- = - 1

4 4

4x - 6

----------- = - 1

4

4x - 6 = (-1) • 4

4x - 6 = - 4

4x = - 4 + 6

4x = 2

x = 2/4

x = 1/2