Vaniables
Lel's Study
nean Equations in twe vvwiabbep? [Definition] [1:1]
enenal dineax &quations in
kotm twe vasiable [:1]
edimultame ous &inax Equaions [11]
Methods dolving oimultaneou_ linea equations
Eliminaion Method Grraphical tethod Determinant Meho
Substitut ion Method 121 TCramer's Rule]
ASA Kule [13]
T11]
Nen-inea êquations that be transomed in
Con
Eauahions in tuwe vauwalte [14/
inea
Applicaion simultaneous lineax e9juations [15]
Practice set and Problem set 1
11, 1-2, 1:3,14, 15
,SHLYd H0 kXU7i9 8vuavd AXH7419
2
PO
, Simultaneous ineax equaBions
hen we think ab out tuo linean quatiens in ivo
Yaniables at the Same time, thes are called
Simultanecus equatons.
Sor Ex. 37-4y=2; 5x + 3y =13
2p+3q-12; 4p-5q 2.
Methods o dolving dimultaneous Equations
41 12 23
¬liminatien Method Crraphical Method determinantMeHe
Substitutien Method TCramer's Rule
AdditHen Subtrackion
Additien ((ASA) Rule
Tn Practice set 11 will solve simultaneous linear
Note: we
equations by Elimioation Method and ASARule
, Basic Concepts ef Practice set 1:2
*raphicalMethed
Je solre twe ineax equalions in Juwo vawiableu qaaphically
ollour the ollowing lor chaut.
Ezpess y in terms ox or in terms o y- fer both Eqs
Choose aleast fou Cenvenient values of x/y and find
the corespendiing volues o /x Statis6ying
the given equations
Wite these values andy
andy in thefarr
o a table"
Plot the ordered pairs (xy) rem the table ona
gaphpaper
Join the peints by a straight line and extend it in the bath|
the directien
These lines ae
haph the equations a +
and an biy +G =0
+62y +2 oO
he
Jhe Tntersection point o beth the lines is the
Solutien o qive equatiens