Respuesta :

First you need to find a common denominator.

20/45x + 9/45x = 87

Combine like terms.

29/ 45x = 87

Multiply both sides by 45/29

x = 3,915 / 29

x = 135

Hope this helps!

Answer:

The value of x is 135.

Step-by-step explanation:

Given : Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]

To find : What is the value of x?

Solution :

Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]

Take LCM,

[tex]\frac{4x\times 5+x\times 9}{9\times 5}=87[/tex]

[tex]\frac{20x+9x}{45}=87[/tex]

[tex]\frac{29x}{45}=87[/tex]

[tex]x=\frac{87\times 45}{29}[/tex]

[tex]x=135[/tex]

Therefore, The value of x is 135.