2. A linear equation in one variable has __ _______. (a)only one solution (b) two solutions (c) more than 2 solutions (d) no solution
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a) only one solution
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ᴛʜᴇ ʟɪɴᴇᴀʀ ᴇqᴜᴀᴛɪᴏɴꜱ ɪɴ ᴏɴᴇ ᴠᴀʀɪᴀʙʟᴇ ɪꜱ ᴀɴ ᴇqᴜᴀᴛɪᴏɴ ᴡʜɪᴄʜ ɪꜱ ᴇxᴩʀᴇꜱꜱᴇᴅ ɪɴ ᴛʜᴇ ꜰᴏʀᴍ ᴏꜰ ᴀx+ʙ = 0, ᴡʜᴇʀᴇ ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ᴛᴡᴏ ɪɴᴛᴇɢᴇʀꜱ, ᴀɴᴅ x ɪꜱ ᴀ ᴠᴀʀɪᴀʙʟᴇ ᴀɴᴅ ʜᴀꜱ ᴏɴʟy ᴏɴᴇ ꜱᴏʟᴜᴛɪᴏɴ. ꜰᴏʀ ᴇxᴀᴍᴩʟᴇ, 2x+3=8 ɪꜱ ᴀ ʟɪɴᴇᴀʀ ᴇqᴜᴀᴛɪᴏɴ ʜᴀᴠɪɴɢ ᴀ ꜱɪɴɢʟᴇ ᴠᴀʀɪᴀʙʟᴇ ɪɴ ɪᴛ. ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴛʜɪꜱ ᴇqᴜᴀᴛɪᴏɴ ʜᴀꜱ ᴏɴʟy ᴏɴᴇ ꜱᴏʟᴜᴛɪᴏɴ, ᴡʜɪᴄʜ ɪꜱ x = 5/2.
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