Embibe Experts Solutions for Chapter: Linear Equation, Exercise 2: Test of consistency

Examine the consistency of the system of the following equation.

$2x-3y+5z=4$

$6x+4z=5$

$x+5y-7z=3$

Examine the consistency of the system of equations.

$5x-y+4z=5$

$2x+3y+5z=2$

$5x-2y+6z=-1$

Examine the consistency of the system of following equations:

$\begin{array}{l}4x-2y=1\\ x-y=4\end{array}$

Examine the consistency of the system of following equations. 

$\begin{array}{l}3x+4y=1\\ 2x+y=4\end{array}$

Examine the consistency of the system of equations.

$x+2y=2$

$2 x+3y=3$

Examine the following system of equations for consistency or inconsistency

.$\mathrm{x}-\mathrm{y}+3\mathrm{z}=6, \mathrm{x}+3\mathrm{y}-3\mathrm{z}=-4, 5\mathrm{x}+3\mathrm{y}+3\mathrm{z}=10$

Examine the following system of equations for consistency or inconsistency.

$\mathrm{x}-2\mathrm{y}+3\mathrm{z}=6, \mathrm{x}+4\mathrm{y}+\mathrm{z}=12, \mathrm{x}-3\mathrm{y}+2\mathrm{z}=1$

Examine the following system of equations for consistency or inconsistency:

$\mathrm{x}-\mathrm{y}=0, 5\mathrm{x}+2\mathrm{y}=0$