exercise - 3.1 🔥| chapter - 3 | LEITV 😍 | class - 9 | graphical method to solve #maths #mathematics

exercise - 3.1 🔥| chapter - 3 | LEITV 😍 | class - 9 | graphical method to solve #maths #mathematics linear equations in two variables, linear equation questions, graphical method to solve equations, graphical representation of linear equation in two variables, leitv, elimination method, substitution method, maths by faiz sir, infinix classes, exercise 3.1, class 10th linear equation in two variables, class 10 chapter 3 solution, class 10 ncert solutions, class 10 important concept, class 10 cbse board preparation, consistent solution, inconsistent solution, unique solution, infinitely many solutions, no solution, coincident lines, parallel lines, intersecting lines, maths ssc cgl, ssc cgl important topic, #class10th #class10maths #class10syllabus #class10thmaths #class10math #class10thmath #linearequationwithtwovariables #linearequationintwovariables #chapter3 #mathsclass #mathematics #mathsbyfaizsir #infinixclasses #class_10th_offical_model_paper_answer_2022 #class_10th_math_objective_question_2025 #class_10_mathematics #viralclass #viralpost #youtube #gopalganj #gopalganj_bihar 1. 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. (ii) 5 pencils and 7 pens together cost ₹ 50, whereas 7 pencils and 5 pens together cost ₹ 46. Find the cost of one pencil and that of one pen. 2. On comparing the ratios 𝒂_𝟏/𝒂_𝟐 , 𝒃_𝟏/𝒃_𝟐 and 𝒄_𝟏/𝒄_𝟐 , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident: (i) 5x – 4y + 8 = 0 7x + 6y – 9 = 0 (ii) 9x + 3y + 12 = 0 (iii) 6x – 3y + 10 = 0 18x + 6y + 24 = 0 2x – y + 9 = 0 3. On comparing the ratios 𝒂_𝟏/𝒂_𝟐 , 𝒃_𝟏/𝒃_𝟐 and 𝒄_𝟏/𝒄_𝟐 , find out whether the following pair of linear equations are consistent, or inconsistent. (i) 3x + 2y = 5 ; 2x – 3y = 7 (ii) 2x – 3y = 8 ; 4x – 6y = 9 (iii) 3/2 x + 5/3 y = 7; 9x – 10y = 14 (iv) 5x – 3y = 11 ; – 10x + 6y = –22 (v) 4/3 x + 2y = 8 ; 2x + 3y = 12 4. Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: (i) x + y = 5, 2x + 2y = 10 (ii) x – y = 8, 3x – 3y = 16 (iii) 2x + y – 6 = 0, 4x – 2y – 4 = 0 (iv) 2x – 2y – 2 = 0, 4x – 4y – 5 = 0 5. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.