agar hamaaray pass aik equation hai 7x
isko solve karnay se pehlay
mujhe yeh sochna hai keh 7x ka matlab kya hai?
agar hamaray pass aik ibaarat hai 7x=14
iska matlab hai keh7 zarab x, yaani hum 7 ko aise hindsay se zarab dein keh jawab 14 aaye
aap isko zubaani solve kar saktay hain
ya aap 7 ka pahaara bhi parh saktay hain
agar 7 zarab aik se shuru karein tou 7 zarab aik ki value hai 7
7 zarab 2 ki value hai 14. Tou iska matlab hai keh x ki value yaqeenan 2 hogi
yeh jawab ya solution tou assni se nikal aaya
is qisam ki asaan aur simple equation ka solution tou araam se nikaala ja sakta hai
lekin agar equation kuch lambi ya mushkil ho tou zubaani ya simple tareeqay se iska jawab nikaalna mushkil hai
iss equation 7x = 14 ka matlab hai keh 7 ko kisi aise number se zarab di jaaye keh iska jawab 14 aaye
algebra mein aksar x ka sign istemaal nahin kiya jaata
agar kisi do hindsoun ko ya aik hindsay aur aik anjaan hindsay ko zarab deni ho to agar unko aik doosray ke saath likha jaaye
to iska bhi yehi matlab hot hai
keh inko aapas mein zarab d jaa rahi hai
yeh sirf isko likhnay ka aik assan tareeqa hai
hum x is liye nahin likhtay keh aksar yeh jaan paana mushkil hai keh
asal mein yeh x ya zarab ka nishaan hai ya keh yeh aik variable x hai
Aksar logon ki likhaayi bhi aisi hoti hai keh 'x' kuch ajeeb lag sakta hai aur logon ko confuse kar sakta hai
keh kisi no do baar tou x nahin likh diya.
to aam taur par jab equations par kaam kiya jaata hai,
khaas taur par jin mein x aik variable ho
tou aisi equations mein zarab ka nishaan istemaal nahin kiya jaata
kuch jagah par log sirf . ya dot ka nishaan bhi zarab ki jagah istemaal karte hain
jaise 7. x(yaani 7 zarab variable x) = 14
magar dot notation itna aam taur par istemaal nahin hota.
agar aik variable ya anjaan number ho x aur usko aik aur hindsay se zarab deni ho tou usko
7x likha jaa sakta hai
iska matlab hai 7 zarab x
iss equation ko hal karnay ke liye aap sochein keh 7 zarab x ka asal matlab kya hai
isko iss tarah bhi dekha jaa sakta hai keh
keh x kay hindsay ko 7 baar khud se jamah kiya jaaye
jaise keh pahaaray mein hota hai
yaani x jamah x jamah x jamah x jamah x
yeh paanch baar x jamah hua, ab iss mein 2 aur x jamah karein
yaani qul mila kar 7x (saat x ) ho gaye
hamaari equation mein 7 x , 14 ke baraabar hain
agar main 14 cheezein banaoon
yaani aik(1), do(2), teen, chaar, paanch, cheh, saat, aath,
nau, dus, gyaarah, baarah, taira, chauda tak
hamaara matlab hai keh ywh 7x in chauda cheezon ke baraabar hai
yeh statements bilkul baraabar hain
inko iss tarah banaanay se yeh behtar samajh mein aata hai
keh hum equation ke dono taraf ko saat(7) hison mein kaise taqseem kar saktay hain
aam taur par jab hum aik equation ko asaan tareeqay se likhna chahtay hain
tou uskay coefficient, ya variable se zarab honay walay hindsay ko nikaalnay ki koshish kartay hain
agar hum equation ke dono jaanib ko 7 se divide ya taqseem karein tou iss equation ko assan tareeqay se likha jaa sakta hai
iss see 7 ka hindsa cancel ho jaaye ga
dono jaanib ko 7 se divide karein
tou 7 ko 7 se hi taqseem karnay se 7 cancel ho jaaye ga
aur sirf x reh jaata hai
doosri jaanib 14 ko 7 se taqseem karein tou jawaab 2 aayega
tou iss tarah x ki value 2 aati hai
isko iss tarah se socha ja sakta hai
keh agar aik equation ko balance karna ho, tou jo aik side par jamah (+) ya tafreeq (-) ya zarab(x) ya taqseem(/) kiya jaata hai
wohi = sign ke doosri jaanib bhi kiya jaata hai, takeh equation balanced rahe.
Hum ne aik side ko 7 se taqseem kiya, tou doosri side ko bhi karengay, kyoonkeh yeh aik equation hai
iski left side, right side ke baraabar hai
jo left side ko kiya jaata hai, wohi doosr side ko bhi
balance karnay ke liye karna zaroori hai
ab jabkeh left side ko 7 se taqseem kiya gaya hai
main right sode ko bhi 7 hison mein baant deta hoon
yaani 7 x 's ko, saat hison miein baantoon ga
aur right jaanib ko bhi saat groups mein taqseem kar deta hoon
aik do teen.............. cheh(6) saat(7) tak
agar left side , right par di gai har cheez ke baraabar hai tou
iss taraf ki aik x