Class 10 Maths Chapter 3 ๐Ÿ”ฅ Exercise 3.1 | Linear Equation in Two Variables | Faiz Sir #algebra

Welcome to Infinix Classes โ€“ Maths by Faiz Sir โค๏ธ Today's lecture covers the second lecture of Class 10 Maths Chapter 3 โ€“ Pair of Linear Equations in Two Variables. In this video we have introduced examples and Exercise 3.1 from Graphical Method. If you want to strengthen Chapter 3 and score marks in board exam, then definitely watch this lecture ๐Ÿ”ฅ ๐Ÿ“š Topics Covered in This Video ๐Ÿ“Œ Chapter 3 โ€“ Pair of Linear Equations in Two Variables โœ” Example 3 โ€“ Pants & Skirts Word Problem โœ” Pair of Linear Equations Formation โœ” Graphical Method by Coordinate Graph โœ” Exercise 3.1 Full Start โœ” Ratio Comparison Method โœ” Intersecting Lines / Parallel Lines / Coincident Lines โœ” Consistent & Inconsistent Equations ๐Ÿง  Questions Solved in This Video Example 3: Champa bought pants and skirts in a sale. Find how many pants and skirts she bought using equations. Exercise 3.1 Questions: โœ” Boys & Girls Quiz Problem โœ” Pencil & Pen Cost Problem โœ” Compare Ratios and Identify Lines โœ” Intersecting / Parallel / Coincident โœ” Consistent or Inconsistent Equations ๐ŸŽฏ Why This Video is Important? ๐Ÿ”ฅ Graphical Method Board Exam Favorite Topic ๐Ÿ”ฅ Word Problems in Easy Language ๐Ÿ”ฅ Exercise 3.1 Full Base Ready ๐Ÿ”ฅ NCERT + CBSE + Bihar Board Important ๐Ÿ”ฅ Concept Clear = Full Marks Chance ๐Ÿ’ฏ ๐Ÿ“ข Follow Infinix Classes ๐Ÿ“ธ Instagram: Infinix Classes โ–ถ YouTube: Infinix Classes ๐Ÿ“˜ Facebook Page: Infinix Classes ๐Ÿ“ŒUseful For: โœ” CBSE Class 10 Maths โœ” Bihar Board Class 10 Maths โœ” ICSE Students โœ” Board Exams 2026 / 2027 ๐Ÿ‘ Like | Share | subscribe ๐Ÿ”” Subscribe Now: Infinix Classes Maths becomes easy only with the help of Faiz Sir โค๏ธ #class10maths #chapter3maths #Exercise31 #graphicalmethod #pairoflinearequations #linearequations #mathsbyfaizsir #infinixclasses #cbseclass10 #boardexampreparation #ncertmaths #wordproblems class 10 maths chapter 3, class 10 maths exercise 3.1, chapter 3 part 2 class 10 maths, pair of linear equations in two variables, graphical method class 10 maths, class 10 maths by faiz sir, infinix classes maths, chapter 3 exercise 3.1 solutions, pair of linear equations graphical method, linear equations word problems class 10, consistent inconsistent equations class 10, intersecting parallel coincident lines, cbse class 10 maths chapter 3, bihar board class 10 maths, ncert maths chapter 3 solutions, class 10 maths chapter 3, graph method class 10, exercise 3.1 class 10 maths hindi, linear equation in two variables hindi Chapter - 03 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Example 3 : Champa went to a โ€˜Saleโ€™ to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, โ€œThe number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchasedโ€. Help her friends to find how many pants and skirts Champa bought. Champa went to a 'sale' to buy pants and skirt. When her friends asked her how many pants and skirts she had bought, she replied, "I bought two fewer skirts than twice the number of pants. Also, I bought four fewer skirts than four times the number of pants." Help her friends find out how many pants and skirts Champa bought in total. EXERCISE 3.1 Form the pair of linear equations in the following problems and find their solutions graphically. Form the pair of linear equations in the following problems and find their solutions graphically. (i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. 10 students of Class 10 participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. (ii) 5 pencils and 7 pens together cost โ‚น 50, whereas 7 pencils and 5 pens together cost โ‚น 46. Find the cost of one pencil and that of one pen. The total cost of 5 pencils and 7 pens is โ‚น 50, whereas the total cost of 7 pencils and 5 pens is โ‚น 46. Find the cost of one pencil and one pen. 2. On comparing the ratios ๐’‚_๐Ÿ/๐’‚_๐Ÿ , ๐’ƒ_๐Ÿ/๐’ƒ_๐Ÿ and ๐’„_๐Ÿ/๐’„_๐Ÿ , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: (i) 5x โ€“ 4y + 8 = 0 7x + 6y โ€“ 9 = 0 (ii) 9x + 3y + 12 = 0 (iii) 6x โ€“ 3y + 10 = 0 18x + 6y + 24 = 0 2x โ€“ y + 9 = 0 3. On comparing the ratios ๐’‚_๐Ÿ/๐’‚_๐Ÿ , ๐’ƒ_๐Ÿ/๐’ƒ_๐Ÿ and ๐’„_๐Ÿ/๐’„_๐Ÿ , find out whether the following pair of linear equations are consistent or inconsistent. (i) 3x + 2y = 5 ; 2x โ€“ 3y = 7 (ii) 2x โ€“ 3y = 8; 4x โ€“ 6y = 9

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