Question

4x + 3 over 5 = 8x - 1 over 9

Answer 1

x=8

Solution,

`(4x + 3)/(5) = (8x - 1)/(9) \\ or \: 9(4x + 3) = 5(8x - 1) \\ or \: 36x + 27 = 40x - 5 \\ or \: 36x - 40x = - 5 - 27 \\ or \: - 4x = - 32 \\ or \: x = ( - 32)/( - 4) \\ x = 8`

hope this helps...

Good luck on your assignment..

Answer 2

x=8

Explanation:

(4x+3)/ 5 = (8x-1)/9

We can use cross products to solve

(4x+3) * 9 = 5(8x-1)

Distribute

36x+27 = 40x -5

Subtract 36x

27 = 40x-36x -5

27 = 4x-5

Add 5 to each side

32 = 4x

Divide by 4

32/4 = 4x/4

8=x

x=8