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Question 8. Solve the following simultaneous equation. 99x + 101 y = 499; 101x + 99y = 501

Question 8.

Solve the following simultaneous equation.

99x + 101 y = 499; 101x + 99y = 501


Answer:



Adding both the Equations



Dividing both sides by 200


 …(III)


Subtract equation (I) and (II)



Divide both sides by (–2)


 …(IV)


Equating Eq. (III) and (IV)





Substituting x=3 in Eq. III





∴ solution is (x, y) = (3, 2)


MATHS I SSC NEW SYLLABUS

Chapter No. 1. Linear Equations in Two Variables

Practice Set 1.1

Practice Set 1.2

Practice Set 1.3

Practice Set 1.4

Practice Set 1.5

Problem Set No. 1

 

Chapter No. 2. Quadratic Equation

Practice Set 2.1

Practice Set 2.2

Practice Set 2.3

Practice Set 2.4

Practice Set 2.5

Practice Set 2.6

Problem Set No. 2

 

Chapter No. 3: Arithmetic Progression

Practice Set 3.1

Practice Set 3.2

Practice Set 3.3

Practice Set 3.4

Problem Set No 3

 

Chapter 4: Financial Planning.

Practice set 4.1

Practice set 4.2

Practice set 4.3

Practice set 4.4

Problem set 4 A

Problem set 4 B

 

CHAPTER NO. 5. PROBABILITY

PRACTICE SET 5.1

PRACTICE SET 5.2

PRACTICE SET 5.3

PRACTICE SET 5.4

PROBLEM SET NO. 5

 

Chapter No. 6: STATISTICS

PRACTICE SET 6.1

PRACTICE SET 6.2

PRACTICE SET 6.3

PRACTICE SET 6.4

PRACTICE SET 6.5

PRACTICE SET 6.6

PROBLEM SET NO. 6

MATHS I  [HOTS] HIGHER ORDER THINKING SKILL

BOARD PAPERS WITH COMPLETE SOLUTION

MARCH 2014, MARCH 2014 [MARATHI MEDIUM] OCTOBER 2014, MARCH 2015, JULY 2015, MARCH 2016, JULY 2016. MARCH 2017,  MARCH 2017 [HINDI MEDIUM] , JULY 2017, MARCH 2017 [MARATHI MEDIUM],

Mathematics Part - i Paper Pattern and Guidelines

SSC Maths I March 2019 Board Paper Solution 10th Standard 11th, March, 2019

GENERAL MATHS ALGEBRA BOARD PAPERS

MARCH 2014, OCTOBER 2014, MARCH 2015, JULY 2015, MARCH 2016, JULY 2016.

MATHS I PRACTICE PAPER FOR SCHOOL PRELIMINARY EXAM. [AS PER NEW SYLLABUS]

Paper No. 1

Paper No. 2

Paper No. 3

ALGEBRA SSC OLD SYLLABUS

ARITHMETIC PROGRESSION

QUADRATIC EQUATION

LINEAR EQUATIONS

PROBABILITY

STATISTICS ONE

STATISTICS TWO

EXTRA HOTS SUMS

FORMULA

ALGEBRAIC FORMULAE