Respuesta :

Answer:

x = 1 3/22

Step-by-step explanation:

1/2 x + 3/5 x = 5/4

We need to get rid of the fractions by multiplying by 20 on each side

20 (1/2 x + 3/5 x) = 20 * 5/4

Distribute

10x + 12x = 25

Combine like terms

22x = 25

Divide each side by 22

22x/22 = 25/22

x = 22/22 + 3/22

x = 1 3/22

Answer:

[tex]x = 1\frac{3}{22}[/tex]

Step-by-step explanation:

=> [tex]\frac{1}{2} x + \frac{3}{5} x = \frac{5}{4}[/tex]

LCM = 20

So, Multiplying both sides by 20

=> [tex]20 (\frac{x}{2} + \frac{3x}{5}) = 5 * 5[/tex]

[tex]10 * x + 4*3x = 25\\10x+12x = 25\\22x = 25[/tex]

Dividing both sides by 22

[tex]x = \frac{25}{22}[/tex]

[tex]x = 1\frac{3}{22}[/tex]