Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 7 is consistent or not. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: Construction: On a graph paper, plot or draw x = 0 next, draw y = – 7 Step 2: Intersection point: check if […]
pair of linear equations
Q) Two pipes together can fill a tank in hours. The pipe with larger diameter takes 2 hours less than the pipe with smaller diameter to fill the tank separately. Find the time in which each pipe can fill the tank separately. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Let’s consider the larger pipe takes
Q) A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average speed of 6 km/h more than the first speed. If it takes 3 hours to complete the journey, what was its first average speed? Ans: Let’s consider the first average
Q) Two people are 16 km apart on a straight road. They start walking at the same time. If they walk towards each other with different speeds, they will meet in 2 hours. Had they walked in the same direction with same speeds as before, they would have met in 8 hours. Find their walking speeds.
Two people are 16 km apart on a straight road. They start Read More »
Q) Two schools ‘P’ and ‘Q’ decided to award prizes to their students for two games of Hockey Rs. x per student and Cricket Rs. y per student. School ‘P’ decided to award a total of Rs. 9,500 for the two games to 5 and 4 students respectively; while school ‘Q’ decided to award Rs. 7,370
Two schools ‘P’ and ‘Q’ decided to award prizes to their students for two games of Read More »
Q) If 217x + 131y = 913 and 131x + 217y = 827, then solve the equations for the values of x and y. Ans: 217 x + 131 y = 913………….(1) 131 x + 217 y = 827………….(2) By adding equations (1) and (2), we get 348 (x + y) = 1740 x + y
Q) If the system of linear equations 2 x + 3 y = 7 and 2 a x + (a + b) y = 28 have an infinite number of solutions, then find the values of ‘a’ and ‘b’. Ans: Step 1: We know that the standard form of a linear equation is: a x
Q)Jaya scored 40 marks in a test getting 3 marks for each correct answer and losing 1 mark for each incorrect answer., Had 4 marks being awarded for each correct answer and 2 marks were deducted for each incorrect answer then Jaya again would have scored 40 marks. How many questions were there in the
Q) Half of the difference between two numbers is 2. The sum of the greater and twice the smaller number is 13. Find the numbers. Ans: Step 1: Let the numbers be x and y. Here, x is the greater number and y is the smaller number. Step 2: by 1st condition, we get: ½ (x-