Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve graphically the following system of linear equations. Also find the coordinates of the points where the lines meet the y-axis: \[ 3x + 2y = 12 \] \[ 5x – 2y = 4 \] Solution Step 1: Write Both Equations in the Form […]

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve graphically the following system of linear equations. Also find the coordinates of the points where the lines meet the y-axis: \[ 2x – 5y + 4 = 0 \] \[ 2x + y – 8 = 0 \] Solution Step 1: Write Both

Graphical Solution of a Pair of Linear Equations Video Explanation Question Determine, by drawing graphs, whether the following system of linear equations has a unique solution or not: \[ 2y = 4x – 6 \] \[ 2x = y + 3 \] Solution Step 1: Write Both Equations in Convenient Form Equation (1): \[ 2y

Graphical Solution of a Pair of Linear Equations Video Explanation Question Determine, by drawing graphs, whether the following system of linear equations has a unique solution or not: \[ 2x – 3y = 6 \] \[ x + y = 1 \] Solution Step 1: Write Both Equations in Convenient Form Equation (1): \[ 2x

Graphical Test of Consistency of a Pair of Linear Equations Video Explanation Question Determine graphically whether the following system of equations is consistent or inconsistent: \[ x – 2y = 2 \] \[ 4x – 2y = 5 \] Solution Step 1: Write Both Equations in Convenient Form Equation (1): \[ x – 2y =

Vertices of a Triangle by Graphical Method Video Explanation Question Determine graphically the vertices of the triangle, the equations of whose sides are: \[ y = x,\quad y = 0,\quad 3x + 3y = 10 \] Solution Step 1: Write the Given Equations Line (1): \(\; y = x\) Line (2): \(\; y = 0\)

Vertices of a Triangle – Graphical Method Video Explanation Question Determine graphically the vertices of the triangle, the equations of whose sides are: \[ 2y – x = 8, \quad 5y – x = 14, \quad y – 2x = 1 \] Solution Step 1: Write the Given Equations in Convenient Form Equation (1): \[

Graphical Representation of an Inconsistent Pair of Linear Equations Video Explanation Question Show graphically that the following system of equations is inconsistent (i.e. has no solution): \[ 3x – 4y – 1 = 0 \] \[ 2x – \frac{8}{3}y + 5 = 0 \] Solution Step 1: Convert Both Equations into Comparable Form Equation (1):

Graphical Representation of an Inconsistent Pair of Linear Equations Video Explanation Question Show graphically that the following system of equations is inconsistent (i.e. has no solution): \[ 2y – x = 9 \] \[ 6y – 3x = 21 \] Solution Step 1: Write Both Equations in Comparable Form Equation (1): \[ 2y – x

Graphical Representation of an Inconsistent System of Linear Equations Video Explanation Question Show graphically that the following system of equations is inconsistent (i.e. has no solution): \[ x – 2y = 6 \] \[ 3x – 6y = 0 \] Solution Step 1: Write Both Equations Equation (1): \[ x – 2y = 6 \]