Question

4/x+3y==14;3/x-4y=23

Answer 1

Hello dear....❤️❤️❤️❤️❤️❤️



ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ⬇

ɢɪᴠᴇɴ ᴇǫᴜᴀᴛɪᴏɴs ᴀʀᴇ :

4x + 3ʏ = 14 .....(ɪ)

3x - 4ʏ = 23 .....(ɪɪ)

ɴᴏᴡ,

4x + 3ʏ = 14 .....(ɪ) × 3

3x - 4ʏ = 23 .....(ɪɪ) × 4

=>>

12x + 9ʏ = 42

12x - 16ʏ = 92

ᴏɴ sᴜʙᴛʀᴀᴄᴛɪᴏɴ, ᴡᴇ ɢᴇᴛ :

25ʏ = - 50

ᴏʀ, ʏ = -2

sᴏ ʏ = -2

ғʀᴏᴍ (ɪ), ᴘᴜᴛᴛɪɴɢ ʏ = -2, ᴡᴇ ɢᴇᴛ :

4x + 3(-2) = 14

=> 4x - 6 = 14

=> 4x = 20

=> x = 5

sᴏ x = 5.

ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ʀᴇǫᴜɪʀᴇᴅ sᴏʟᴜᴛɪᴏɴ ɪs

x = 5 ᴀɴᴅ ʏ = -2........

✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️

Answer 2

let us supo...

1/x=a

then

4a +3y=14..................(1)

3a-4y=23

4(4a+3y=14)

3(3a-4y=23)

16a+12y=56

9a-12y=69

25a=125

a=5

a=1/x

1/5=x

x=1/5

substi..the value in eq 1

4/1/5+3y=14

y=-2