Question

2.Solve the following simultaneous equation

(1) 49x - 57y = 172 ; 57x - 49y =252


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Answer 1

Answer in the attachment ⤴️

Step-by-step explanation:

ʜᴏᴘᴇ ʏᴏᴜ'ʟʟ ʙᴇ ᴀʙʟᴇ ᴛᴏ ᴜɴᴅᴇʀsᴛᴀɴᴅ ᴛʜᴇ sᴏʟᴜᴛɪᴏɴ ᴀɴᴅ ɪᴛ ᴡɪʟʟ ʙᴇ ᴛʜᴇ ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ

Answer 2

Answer:

Ani

49x−57y=172..(l)

57x−49y=252..(ll)

Adding (I) and (II)

49x+57x−57y−49y=172+252

⇒106x−106y=424

⇒x−y=4..(lll)

Subtracting (II) from (I) we have

49x+57x−57y−(−49y)=252−172

⇒−8x−8y=−80

⇒−x−y=−10

⇒x+y=10..(lV)

Adding (III) and (IV)

x−y=4

x+y=10

⇒2x=14

⇒x=7

Putting the value of x = 7 in (IV) we get

7+y=10

⇒y=10−7

⇒y=3

Thus, (x,y)=(7,3)