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 \[
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 linear equations has infinitely many solutions: \[ 2x + 3y = 7, \qquad (a-b)x + (a+b)y = 3a + b – 2 \] Solution Step 1: Write the Equations 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 linear equations has infinitely many solutions: \[ 3x + 4y = 12, \qquad (a+b)x + 2(a-b)y = 5a – 1 \] Solution Step 1: Write the 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 linear equations has infinitely many solutions: \[ (a-1)x + 3y = 2, \qquad 6x + (1-2b)y = 6 \] Solution Step 1: Write in Standard Form \[ (a-1)x + 3y
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 linear equations has infinitely many solutions: \[ 2x – (2a+5)y = 5, \qquad (2b+1)x – 9y = 15 \] Solution Step 1: Write in Standard Form \[ 2x – (2a+5)y