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): \[ x – 2y = 6 \]
Show Graphically That the System of Equations Is Inconsistent: x − 2y = 6, 3x − 6y = 0 Read More »
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): \[ 3x – 5y = 20 \] \[ 6x – 10y = -40 \] Solution Step 1: Write Both Equations Equation (1): \[ 3x – 5y = 20 \]
Graphical Representation of a Pair of Linear Equations with Infinitely Many Solutions Video Explanation Question Show graphically that the following system of equations has infinitely many solutions: \[ x – 2y + 11 = 0 \] \[ 3x – 6y + 33 = 0 \] Solution Step 1: Write Both Equations Equation (1): \[ x
Graphical Representation of a Pair of Linear Equations with Infinitely Many Solutions Video Explanation Question Show graphically that the following system of equations has infinitely many solutions: \[ 3x + y = 8 \] \[ 6x + 2y = 16 \] Solution Step 1: Write Both Equations Equation (1): \[ 3x + y = 8
Graphical Representation of a Pair of Linear Equations with Infinitely Many Solutions Video Explanation Question Show graphically that the following system of equations has infinitely many solutions: \[ x – 2y = 5 \] \[ 3x – 6y = 15 \] Solution Step 1: Write Both Equations Equation (1): \[ x – 2y = 5