Koj yuav tsum paub tus nqi ntawm "x" yog tias koj muaj teeb meem zoo li 7x - 10 = 3x + 6. Ib qho kev ua zauv zoo li no hu ua kab zauv ncaj qha, thiab feem ntau tsuas muaj ib qho sib txawv xwb. Kab lus no yuav qhia koj cov kauj ruam yooj yim.
Kauj ruam
Txoj Kev 1 ntawm 2: Pib nrog Qhov Hloov Pauv ntawm Qhov Sab Nraud
Kauj Ruam 1. Saib koj qhov teeb meem:
7x - 10 = 3x - 6. Ib qho yooj yim linear equation yuav zoo li:
Kauj Ruam 2. Txheeb xyuas cov ntsiab lus sib txawv thiab cov ntsiab lus tas li hauv kab zauv
Cov ntsiab lus sib txawv yog tus lej zoo li 7x lossis 3x lossis 6y lossis 10z, tus lej hloov pauv nyob ntawm tus lej koj muab tso rau hauv qhov sib txawv, lossis tsab ntawv. Cov ntsiab lus tsis tu ncua yog tus lej zoo li 10 lossis 6 lossis 30, uas yuav tsis hloov pauv.
Feem ntau, qhov sib npaug yuav tsis muaj cov ntsiab lus sib txawv thiab cais cov lus tas li ntawm ob sab. Hauv qhov piv txwv saum toj no, sab laug muaj cov ntsiab lus sib txawv thiab tsis tu ncua, ib yam li sab xis
Kauj Ruam 3. Npaj txav cov lej kom cov ntsiab lus sib txawv nyob ntawm ib sab thiab cov ntsiab lus tsis tu ncua nyob rau lwm qhov, xws li hauv 16x - 5x = 32 - 10 (qhov sib npaug tau daws hauv qhov piv txwv 2)
Txhawm rau ua qhov no, koj yuav tsum rho lossis ntxiv cov lej koj xav txav los ntawm ob sab. Hauv qib tom ntej, koj yuav pom yuav ua li cas hauv piv txwv 1.
Kev sib luag 16x - 5x = 32 - 10 qhov tseeb muaj tag nrho cov ntsiab lus sib txawv ntawm ib sab (sab laug), thaum tag nrho cov ntsiab lus tsis tu ncua yog nyob rau lwm sab (sab xis).
Kauj Ruam 4. Tsiv cov ntsiab lus sib txawv mus rau ib sab ntawm qhov sib npaug
Koj tuaj yeem txav cov pab pawg sib txawv mus rau ib sab.
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Piv txwv 1, 7x - 10 = 3x -6 tuaj yeem teeb tsa los ntawm kev xaiv rho tawm ib qho (7 x) los yog (3 x) los ntawm ob sab. Xaiv rho tawm 7x, koj tau txais:
(7x - 7x) - 10 = (3x - 7x) - 6.
- 10 = -4x -6
Kauj Ruam 5. Tom ntej no, tshem tag nrho cov ntsiab lus ntawm qhov tas mus li mus rau lwm sab ntawm qhov sib npaug
Ntawd yog: txav cov ntsiab lus ntawm qhov tsis tu ncua kom cov ntsiab lus nyob rau sab nraud ntawm qhov sib npaug mus rau sab qhov twg cov ntsiab lus sib txawv yog.
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Peb pom tias - 6 yuav tsum tau muab rho tawm ntawm ob sab:
- 10 -(-6) = -4x -6 -(-6).
- 4 = -4x
Kauj Ruam 6. Thaum kawg, txhawm rau nrhiav tus nqi x, tsuas yog faib ob sab los ntawm qhov sib npaug ntawm x
Qhov sib npaug x (lossis y, lossis z, lossis lwm tsab ntawv) yog tus lej uas nyob ntawm xub ntiag ntawm cov lus sib txawv.
- Coefficient x hauv - 4x ib yog - 4. Yog li, faib ob sab los ntawm - 4 kom tau txais tus nqi x = 1 os.
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Peb cov lus teb rau qhov sib npaug 7x - 10 = 3x -6 yog x = 1 os. Koj tuaj yeem tshawb xyuas cov lus teb no los ntawm ntsaws 1 rov qab rau hauv txhua x qhov sib txawv thiab pom yog tias ob sab ntawm qhov sib npaug muaj tus lej zoo ib yam:
7(1) - 10 = 3(1) - 6
7 - 10 = 3 - 6
- 3 = -3
Txoj Kev 2 ntawm 2: Pib los ntawm qhov sib txawv ntawm Ib Sab
Kauj Ruam 1. Paub tias qee zaum cov ntsiab lus sib txawv thiab cov ntsiab lus tsis tu ncua tau sib cais
Qee zaum, qee qhov haujlwm koj twb ua tiav rau koj lawm. Koj twb muaj tag nrho cov ntsiab lus sib txawv ntawm ib sab thiab txhua qhov lus tas li ntawm lwm qhov. Yog tias qhov no yog txhua yam koj yuav tsum ua yog ua cov hauv qab no.
Kauj Ruam 2. Ua kom yooj yim ob sab
Rau qhov sib npaug 16x - 5x = 32 - 10, peb tsuas yog yuav tsum rho tus lej los ntawm ib leeg.
Kauj Ruam 3. Tom ntej no, faib ob sab los ntawm x coefficient
Nco ntsoov tias coefficient ntawm x yog tus lej nyob rau pem hauv ntej ntawm cov lus sib txawv.
Hauv qhov piv txwv no, coefficient ntawm x hauv 11x yog 11. Kev faib tawm yog 11x11 = 2211 kom tau x = 2 os. Sib npaug teb 16x - 5x = 32 - 10 yog x = 2 os.
Ceeb toom
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Vim li cas thiaj ua li ntawd? Sim faib qhov no:
4x - x = 10 zoo li no 4x/4 - 10/4 = -6/4 tsim x - 10/4 = -6/4 nrog ntau ntau feem los daws, thiab cov zauv no tsis yooj yim los daws; yog li ua kom yooj yim yog qhov laj thawj zoo los sau tag nrho cov ntsiab lus ntawm qhov sib txawv mus rau ib sab thiab tag nrho cov ntsiab lus ntawm qhov tas mus li mus rau lwm sab.
