aphically.
z+ y = 5;X - y = 3 _✌️
3.x - y = 2; 2x - y = 3 _ ✌️
2V - 3Y = 4;31 - x = 4 _ ✌️
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Answers
x+ʏ=5 ...(ɪ)
2x+2ʏ=10 ...(ɪɪ)
⇒x+ʏ=5
⇒ʏ=5−x
x 0 3
ʏ 5 2
ᴘʟᴏᴛ (0,5) ᴀɴᴅ (3,5) ᴏɴ ɢʀᴀᴘʜ ᴀɴᴅ ᴊᴏɪɴ ᴛʜᴇᴍ ᴛᴏ ɢᴇᴛ ᴇǫᴜᴀᴛɪᴏɴ x+ʏ=5.
2x+2ʏ=10
⇒2ʏ=(10−2x)
⇒ʏ=
2
10−2x
=5−x ...(ɪɪɪ)
x 5 2
ʏ 0 3
sᴏ, ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ɪs ᴄᴏɴsɪsᴛᴇɴᴛ ᴀɴᴅ ʜᴀs ɪɴғɪɴɪᴛᴇʟʏ ᴍᴀɴʏ sᴏʟᴜᴛɪᴏɴ
(ɪɪ) x−ʏ=8 ....(ɪ)
3x−3ʏ=16 ....(ɪɪ)
⇒x−ʏ=8
⇒−x+ʏ=−8
⇒ʏ=−8+x
⇒ʏ=x−8
x 8 0
ʏ 0 -8
3x−3ʏ=16 ...(ɪɪ)
⇒3x=16+3ʏ
⇒3x−16=3ʏ
⇒ʏ=
3
3x−16
⇒ʏ=x−
3
16
x
3
16
0
ʏ 0
3
−16
ᴘʟᴏᴛᴛɪɴɢ ʙᴏᴛʜ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ɪɴ ɢʀᴀᴘʜ, ᴡᴇ sᴇᴇ ᴛʜᴀᴛ ᴛʜᴇ ʟɪɴᴇs ᴀʀᴇ ᴘᴀʀᴀʟʟᴇʟ , sᴏ ɪɴᴄᴏɴsɪsᴛᴇɴᴛ.
(ɪɪɪ) 2x+ʏ−6=0
4x−2ʏ−4=0
2x+ʏ=6 ....(ɪ)
4x−2ʏ=4 ...(ɪɪ)
ғᴏʀ ᴇǫᴜᴀᴛɪᴏɴ (ɪ), 2x+ʏ=6⇒ʏ=6−2x
x 0 3
ʏ 6 0
ᴘʟᴏᴛ ᴘᴏɪɴᴛ (0,6) ᴀɴᴅ (3,0) ᴏɴ ᴀ ɢʀᴀᴘʜ ᴀɴᴅ ᴊᴏɪɴ ᴛʜᴇɴ ᴛᴏ ɢᴇᴛ ᴇǫᴜᴀᴛɪᴏɴ 3x+ʏ=6
ғᴏʀ ᴇǫᴜᴀᴛɪᴏɴ (ɪɪ), 4x−2ʏ=4⇒
2
4x−4
=ʏ
x 1 0
ʏ 0 −2
ᴘʟᴏᴛ ᴘᴏɪɴᴛ (1,0) ᴀɴᴅ (0,−2) ᴏɴ ᴀ ɢʀᴀᴘʜ ᴀɴᴅ ᴊᴏɪɴ ᴛʜᴇᴍ ᴛᴏ ɢᴇᴛ ᴇǫᴜᴀᴛɪᴏɴ 4x−2ʏ=0
x=2,ʏ=2 ɪs ᴛʜᴇ sᴏʟᴜᴛɪᴏɴ ᴏғ ᴛʜᴇ ɢɪᴠᴇɴ ᴘᴀɪʀs ᴏғ ᴇǫᴜᴀᴛɪᴏɴ . sᴏ. sᴏʟᴜᴛɪᴏɴ ɪs ᴄᴏɴsɪsᴛᴇɴᴛ.
(ɪᴠ) 2x−2ʏ=2 ...(ɪ)
4x−4ʏ=5 ...(ɪɪ)
2x−2ʏ=2⇒2x−2=2ʏ
ʏ=x−1
x 0 1
ʏ −1 0
ᴘʟᴏᴛ ᴘᴏɪɴᴛ (0,1) ᴀɴᴅ (1,0) ᴀɴᴅ ᴊᴏɪɴ ᴛᴏ ɢᴇᴛ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ 2x−2ʏ=2 ᴏɴ ᴀ ɢʀᴀᴘʜ 4x−4ʏ=5⇒4x−5=4ʏ
⇒
4
4x−5
=ʏ
x 0
4
5
ʏ −
4
5
0
ᴘʟᴏᴛ ᴘᴏɪɴᴛ (0,−
4
5
) ᴀɴᴅ (
4
5
,0) ᴀɴᴅ ᴊᴏɪɴ ᴛʜᴇᴍ ᴛᴏ ɢᴇᴛ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ 4x−4ʏ=5 ᴏɴ ᴀ ɢʀᴀᴘʜ.
ᴛʜᴇ ᴛᴡᴏ ʟɪɴᴇs ɴᴇᴠᴇʀ ɪɴᴛᴇʀsᴇᴄᴛ, sᴏ, ᴛʜᴇ sᴏʟᴜᴛɪᴏɴ ɪs ɪɴᴄᴏɴsɪsᴛᴇɴᴛ.
prince tell did u download the app
l hope it will help u ☺️✌️☺️
