Answer:
mark me as brainliest
Step-by-step explanation:
2x+3y=120
Subtract 2x from both sides.
3y=120−2x
Divide both sides by 3.
3
3y
=
120−2x
Dividing by 3 undoes the multiplication by 3.
y=
Divide 120−2x by 3.
y=−
2x
+40
3ʏ+4x=120
ʏ=
120−4x
ʏ=4(
30−x
)
=40−
4x
ғᴏʀ ʏ ᴛᴏ ʙᴇ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ, (40−
)>0
ᴀɴᴅ x sʜᴏᴜʟᴅ ʙᴇ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 3
<40 ⇒x<30
x ɪs ᴀʟsᴏ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ
∴x>0
ғᴏʀ ʏ ᴛᴏ ʙᴇ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ, x=3ᴋ ᴀɴᴅ 0<x<3ᴋ
∴ sᴏʟᴜᴛɪᴏɴ sᴇᴛ =(3ᴋ,40,4ᴋ),ᴋ=1,2....9
9 sᴏʟᴜᴛɪᴏɴ ᴀʀᴇ ᴘᴏssɪʙʟᴇ
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Answers & Comments
Answer:
mark me as brainliest
Step-by-step explanation:
2x+3y=120
Subtract 2x from both sides.
3y=120−2x
Divide both sides by 3.
3
3y
=
3
120−2x
Dividing by 3 undoes the multiplication by 3.
y=
3
120−2x
Divide 120−2x by 3.
y=−
3
2x
+40
3ʏ+4x=120
ʏ=
3
120−4x
ʏ=4(
3
30−x
)
=40−
3
4x
ғᴏʀ ʏ ᴛᴏ ʙᴇ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ, (40−
3
4x
)>0
ᴀɴᴅ x sʜᴏᴜʟᴅ ʙᴇ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 3
3
4x
<40 ⇒x<30
x ɪs ᴀʟsᴏ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ
∴x>0
ғᴏʀ ʏ ᴛᴏ ʙᴇ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ, x=3ᴋ ᴀɴᴅ 0<x<3ᴋ
∴ sᴏʟᴜᴛɪᴏɴ sᴇᴛ =(3ᴋ,40,4ᴋ),ᴋ=1,2....9
9 sᴏʟᴜᴛɪᴏɴ ᴀʀᴇ ᴘᴏssɪʙʟᴇ
Hp it hlps ☺️✌️☺️