The system of equations is inconsistent
Explanation:
we have
x - y = 6
y= 6-x -----> equation A
y=3-x-----> equation B
equation A and equation B has the same slope
so
The lines are parallel
The system has no solution
therefore
The system of equations is inconsistent
Equations are inconsistent.
Explanation:
Given : x + y = 6
y = 3 - x.
To find : Identify the type of system.
Solution : We have given that
x + y = 6 →→→→→→→( equation 1).
y = 3 - x →→→→→→→( equation 2).
Plugging the values of y = 3 - x from equation (2) in equation (1).
x + (3 - x ) = 6
x + 3 - x = 6.
3 = 6
It has no solution , these lines are parallel.
Therefore, Equations are inconsistent.