Question

if x: y = 8:9 then 5x -4y : 3x +2y is equal to​

Answer 1

Answer:

say whether it is coreect

Step-by-step explanation:

x:y=8:9

x/y=8/9

9x=8y

x=8y/9

substitute x=8y/9 in equation

5(8y/9) -4y:3(8y/9) +2y

40y/9-4y:24y/9+2y

40y-36y/9:24y+18y/9

4y/9:42y/9

4y:42y

4:42

2:21

Answer 2

x : y = 8 : 9 then (5x - 4y) : (3x + 2y) = 2 : 21

Given :

x : y = 8 : 9

To find :

The value of (5x - 4y) : (3x + 2y)

Solution :

Step 1 of 2 :

Assume the value of x and y

Here it is given that x : y = 8 : 9

Let x = 8k , y = 9k

Step 2 of 2 :

Find the value of (5x - 4y) : (3x + 2y)

$\displaystyle \sf (5x - 4y) : (3x + 2y)$

$\displaystyle \sf = \frac{(5x - 4y) }{ (3x + 2y)}$

$\displaystyle \sf = \frac{(5 \times 8k - 4 \times 9k) }{ (3 \times 8k + 2 \times 9k)}$

$\displaystyle \sf = \frac{40k - 36k}{24k + 18k}$

$\displaystyle \sf = \frac{4k}{42k}$

$\displaystyle \sf = \frac{2}{21}$

$\displaystyle \sf = 2 : 21$

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