Cost of Bags and Pens Video Explanation Question 3 bags and 4 pens together cost Rs 257 whereas 4 bags and 3 pens together cost Rs 324. Find the total cost of 1 bag and 10 pens. Solution Step 1: Let the Variables Let the cost of 1 bag = Rs \(x\) Let the cost
Cost of Tables and Chairs Video Explanation Question 4 tables and 3 chairs together cost Rs 2250 and 3 tables and 4 chairs cost Rs 1950. Find the cost of 2 chairs and 1 table. Solution Step 1: Let the Variables Let the cost of 1 table = Rs \(x\) Let the cost of 1
Number of Pens and Pencils Video Explanation Question Reena has pens and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, then number of pencils would become 4 times the number of pens. Find the original number of pens and pencils. Solution Step 1: Let the Variables
Cost of an Audio Cassette and a Video Cassette Video Explanation Question 7 audio cassettes and 3 video cassettes cost Rs 1110, while 5 audio cassettes and 4 video cassettes cost Rs 1350. Find the cost of one audio cassette and one video cassette. Solution Step 1: Let the Variables Let the cost of one
Cost of One Pen and One Pencil Video Explanation Question 5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5. Find the cost of 1 pen and 1 pencil. Solution Step 1: Let the Variables Let the cost of 1 pen = Rs \(x\) Let the cost
Consistency of a Pair of Linear Equations Video Explanation Question For which value(s) of \( \lambda \), do the pair of linear equations \[ \lambda x + y = \lambda^2, \qquad x + \lambda y = 1 \] have (i) no solution (ii) infinitely many solutions (iii) a unique solution? Solution Step 1: Write in
Infinitely Many Solutions of a Pair of Linear Equations Video Explanation Question Find the values of \(a\) and \(b\) for which the following system of equations has infinitely many solutions: \[ 2x + 3y = 7, \qquad 2ax + ay = 28 – by \] Solution Step 1: Write Both Equations in Standard Form \[
Infinitely Many Solutions of a Pair of Linear Equations Video Explanation Question Find the values of \(a\) and \(b\) for which the following system of equations has infinitely many solutions: \[ x + 2y = 1, \qquad (a-b)x + (a+b)y = a + b – 2 \] Solution Step 1: Write the Equations in Standard
Infinitely Many Solutions of a Pair of Linear Equations Video Explanation Question Find the value of \(a\) for which the following system of equations has infinitely many solutions: \[ 2x + 3y = 7, \qquad (a-1)x + (a+2)y = 3a \] Solution Step 1: Write the Equations in Standard Form \[ 2x + 3y –
Infinitely Many Solutions of a Pair of Linear Equations Video Explanation Question Find the value of \(a\) for which the following system of equations has infinitely many solutions: \[ 2x + 3y – 7 = 0, \qquad (a-1)x + (a+1)y = 3a – 1 \] Solution Step 1: Write Both Equations in Standard Form \[