Condition for Infinitely Many Solutions of a Pair of Linear Equations Video Explanation Question Find the value of \(k\) for which the following system of equations has infinitely many solutions: \[ 2x + 3y – 5 = 0, \qquad 6x + ky – 15 = 0 \] Solution Step 1: Identify Coefficients From the given […]
Condition for Infinitely Many Solutions of a Pair of Linear Equations Video Explanation Question Find the value of \(k\) for which the following system of equations has infinitely many solutions: \[ 2x + 3y – 5 = 0, \qquad 6x + ky – 15 = 0 \] Solution Step 1: Identify Coefficients From the given
Condition for Unique Solution of a Pair of Linear Equations Video Explanation Question Find the value of \(k\) for which the following system of equations has a unique solution: \[ x + 2y = 3, \qquad 5x + ky + 7 = 0 \] Solution Step 1: Write in Standard Form \[ x + 2y
Condition for Unique Solution of a Pair of Linear Equations Video Explanation Question Find the value of \(k\) for which the following system of equations has a unique solution: \[ 4x – 5y = k, \qquad 2x – 3y = 12 \] Solution Step 1: Write in Standard Form \[ 4x – 5y – k
Condition for Unique Solution of a Pair of Linear Equations Video Explanation Question Find the value of \(k\) for which the following system of equations has a unique solution: \[ 4x + ky + 8 = 0, \qquad 2x + 2y + 2 = 0 \] Solution Step 1: Identify Coefficients From the given equations,
Condition for Unique Solution of a Pair of Linear Equations Video Explanation Question Find the value of \(k\) for which the following system of equations has a unique solution: \[ kx + 2y = 5, \qquad 3x + y = 1 \] Solution Step 1: Write in Standard Form \[ kx + 2y – 5
Consistency of a Pair of Linear Equations Video Explanation Question Determine whether the following system of equations has a unique solution, no solution or infinitely many solutions. If it has a unique solution, find it: \[ x – 2y = 8, \qquad 5x – 10y = 10 \] Solution Step 1: Write in Standard Form
Consistency of a Pair of Linear Equations Video Explanation Question Determine whether the following system of equations has a unique solution, no solution or infinitely many solutions. If it has a unique solution, find it: \[ 3x – 5y = 20, \qquad 6x – 10y = 40 \] Solution Step 1: Write in Standard Form
Consistency of a Pair of Linear Equations Video Explanation Question Determine whether the following system of equations has a unique solution, no solution or infinitely many solutions. If it has a unique solution, find it: \[ 2x + y = 5, \qquad 4x + 2y = 10 \] Solution Step 1: Write in Standard Form
Consistency of a Pair of Linear Equations Video Explanation Question Determine whether the following system of equations has a unique solution, no solution or infinitely many solutions. If it has a unique solution, find it: \[ x – 3y = 3, \qquad 3x – 9y = 2 \] Solution Step 1: Write in Standard Form