Naomba msaada wa kufanya hii hesabu

Simple tu.. Zidisha chin mara 4 na juu mara moja.. Then chukua ya chini toa ya juu..

Sina karatas ningesolve
 
karibuni wataalamu
Simple tu.. Zidisha chin mara 4 na juu mara moja.. Then chukua ya chini toa ya juu..

Sina karatas ningesolve
Kama hivyo sio
20210614_161609.jpg
 
solve by elimination
12/X + 15/Y =7
20/Y + 3/X = 3
Fanya hivi:
By Elimination ina maana - epuka unknown moja = ua unkown mojawapo kati ya X au Y.
Hatua ya kwanza andika unknown zikae sawa (Arrange them) bila kuathiri thamani positive or Negative i.e.
12/x +15/y =7
3/x+20/y = 3
Then proceed kama ifuatavyo:
12/x + 15/y = 7 ni sawa na kusema 12/x = -15/y + 7 .......(i)
Pia 20/y +3/x = 3 ni sawa na kusema 3/x = = 3 - 20/y.........(ii)
Sasa pale palipoandikwa 12/x ,Original equation,badala yake andika hapo -15/y + 7; na pale palipoandikwa 3/x, original eqn. sasa andika hapo 3-20/y.
Kwa hiyo ;
kwa kuepuka kuandika au kutumia x sasa tunaweza kuandika
-15/y +7 i,e, nimeitumia hii badala ya kuandika 12/x.
vile vile 3-20/y = 3 badala ya kuandika 3/x.
Kwa hiyo:
(-15/y +7) + 15/y = 7 au ukipenda pia waweza andika 20/y + (3-20/y) = 3.
Sasa chagua kusolve mojawapo ya hizo One variable linear equations.
By removing brackets: -15/y + 7 + 15/y = 7
Pia 20/y+ (3-20/y) = 3
Therefore 20/y + 3 - 20/y = 3 and also -15/y +7+ 15/y =7
Katika eqn. No.(i) utapata 3=3 na eqn. No.(ii) 7=7 such equations are Undefined simultaneous equations or there is no single solution set.

Nawasilisha Mkuu.
 
Fanya hivi:
By Elimination ina maana - epuka unknown moja = ua unkown mojawapo kati ya X au Y.
Hatua ya kwanza andika unknown zikae sawa (Arrange them) bila kuathiri thamani positive or Negative i.e.
12/x +15/y =7
3/x+20/y = 3
Then proceed kama ifuatavyo:
12/x + 15/y = 7 ni sawa na kusema 12/x = -15/y + 7 .......(i)
Pia 20/y +3/x = 3 ni sawa na kusema 3/x = = 3 - 20/y.........(ii)
Sasa pale palipoandikwa 12/x ,Original equation,badala yake andika hapo -15/y + 7; na pale palipoandikwa 3/x, original eqn. sasa andika hapo 3-20/y.
Kwa hiyo ;
kwa kuepuka kuandika au kutumia x sasa tunaweza kuandika
-15/y +7 i,e, nimeitumia hii badala ya kuandika 12/x.
vile vile 3-20/y = 3 badala ya kuandika 3/x.
Kwa hiyo:
(-15/y +7) + 15/y = 7 au ukipenda pia waweza andika 20/y + (3-20/y) = 3.
Sasa chagua kusolve mojawapo ya hizo One variable linear equations.
By removing brackets: -15/y + 7 + 15/y = 7
Pia 20/y+ (3-20/y) = 3
Therefore 20/y + 3 - 20/y = 3 and also -15/y +7+ 15/y =7
Katika eqn. No.(i) utapata 3=3 na eqn. No.(ii) 7=7 such equations are Undefined simultaneous equations or there is no single solution set.

Nawasilisha Mkuu.
Asante sana Mkuu
ila natanguliza samahani kwan usahihi
wa swali hilo ni kama ifuatavyo:-
12/x + 15/y= 7
20/y - 3/x = 3
kwa watakaohitaji kujielimish lipo hivyo;
ila binafsi nashukur nimeshapat ufumbuz kam nilivyoweka hapo juu.
naomben mwongozo kwa haya maswali;
asanten sana.
20210614_182507.jpg
 
yap kw lile swali la kwnz"
bado hilo hapo chini; krb mkuu.View attachment 1818772
1. (a) Haya ni maswali yanayolingana sana na ordinary one variable equations.
Solution iko hivi:
3x+4 = 25 and 3x + 4 > 25.
Then 3x + 4 = 25 utapata x= 7 na 3x + 4 > 7 utapata x > 7. Kwa hiyo solution ni All numbers real Numbers x grater than and including 7.
Chora numberline (x-axis) tu na onyesha namba 7 kwa kutumia dot n Bold kuanzia hapo na kuendelea upande wa +ve. Itaonekana hivi:

1623702375795.png
 
Fanya hivi:
By Elimination ina maana - epuka unknown moja = ua unkown mojawapo kati ya X au Y.
Hatua ya kwanza andika unknown zikae sawa (Arrange them) bila kuathiri thamani positive or Negative i.e.
12/x +15/y =7
3/x+20/y = 3
Then proceed kama ifuatavyo:
12/x + 15/y = 7 ni sawa na kusema 12/x = -15/y + 7 .......(i)
Pia 20/y +3/x = 3 ni sawa na kusema 3/x = = 3 - 20/y.........(ii)
Sasa pale palipoandikwa 12/x ,Original equation,badala yake andika hapo -15/y + 7; na pale palipoandikwa 3/x, original eqn. sasa andika hapo 3-20/y.
Kwa hiyo ;
kwa kuepuka kuandika au kutumia x sasa tunaweza kuandika
-15/y +7 i,e, nimeitumia hii badala ya kuandika 12/x.
vile vile 3-20/y = 3 badala ya kuandika 3/x.
Kwa hiyo:
(-15/y +7) + 15/y = 7 au ukipenda pia waweza andika 20/y + (3-20/y) = 3.
Sasa chagua kusolve mojawapo ya hizo One variable linear equations.
By removing brackets: -15/y + 7 + 15/y = 7
Pia 20/y+ (3-20/y) = 3
Therefore 20/y + 3 - 20/y = 3 and also -15/y +7+ 15/y =7
Katika eqn. No.(i) utapata 3=3 na eqn. No.(ii) 7=7 such equations are Undefined simultaneous equations or there is no single solution set.

Nawasilisha Mkuu.
mkuu hesabu uliishia ngazi gani? Samahani lakini.
 
solve by elimination
12/X + 15/Y =7
20/Y + 3/X = 3
Let 1/x = a then 1/y = b
Hizo equations zitakuwa
12a +15b = 7
20b + 3a = 3
(Rearranging)
12a + 15b = 7.........(i)
3a + 20b = 3.........(ii)
Multiply eqn 1 by 3 and eqn 2 by 12.
36a + 45b = 21
36a + 240b = 36
Take eqn2 - eqn1
195b = 15
Divide by b both sides
b = 15/195
=1/13.
From eqn 1
36a + 45b = 21
36a = 21 - 45b
But b =1/13
36a = 21 - 45(1/13)
= 21 - 45/13
=228/13
36a = 228/13
a =(228/13)/36
a = 228/468
=19/39.
From above,
1/x = a
1/x =19/39 (make x the subject or just reciprocate both sides)
x = 39/19
Also
1/y = b
1/y = 1/13
y = 13
Therefore x = 39/19 and
y = 13.
Dah! Enzi zangu
 
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