Question

If 2x + 3y : 3x + 5y = 18:29,
then is equal to
​

Answer 1

Answer:

the given equation is equal to x:y = 3:4

Step-by-step explanation:

Explanation:

Given , 2x + 3y : 3x + 5y = 18: 29

This can be written as ,

$\frac{2x + 3y }{3x + 5y } = \frac{18 }{29}$

Step 1:

Apply cross multiplication we get ,

29(2x + 3y ) = 18 (3x + 5y)

⇒58x + 87 y = 54x + 90 y

⇒58 x - 54 x = 90 y - 87 y

⇒4x = 3 y

⇒$\frac{x}{y} = \frac{3}{4}$

Final answer :

Hence , we conclude that  $x:y = 3:4$ .

#SPJ2

Answer 2

Answer:

The value of x=3 and y=4.

Step-by-step explanation:

As per the data given in the question,

$\frac{2x+3y}{3x+5y}=\frac{18}{29}$

By cross-multiplying,

$29(2x+3y)=18(3x+5y)\\58x+87y=54x+90y\\4x=3y\\\frac{x}{y} =\frac{3}{4}$

So, (x,y) = (3,4)

Hence, the value of x=3 and y=4.

#SPJ2