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"Algebra Formulas and Solutions for SSC Class 10"

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Polynomials and their properties Linear Equations in two variables Quadratic Equations and methods of solving Factorization and its applications Arithmetic Progression (AP) Key Algebraic Identities and formulas Word Problems based on Algebraic expressions Practice questions with step-by-step solutions Exam Tips for solving Algebra problems quickly and accurately

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Classloth 1. innan Eauations in twe Alqebra
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

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Uploaded on
May 1, 2025
Number of pages
35
Written in
2024/2025
Type
Class notes
Professor(s)
Galaxy parmar
Contains
Class 9th to 12th

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