Answer:
consistent
Step-by-step explanation:
Here we are given two equations.
Y = -3x + 12
Y = -6x + 2
First let's see the definition of consistent and inconsistent.
If a system has at least one solution, it is said to be consistent .
If a consistent system has exactly one solution, it is independent .
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Let's solve this equations
-3x + 12 = -6x + 2
6x - 3x = 2 -12
3x = -10
x = -10/3
Now plug in x = -10/3 in the first equation to get the value of y.
y = -3*-10/3 + 12
y = 10 + 12
y = 22
Therefore, the system has exactly one solution at (-10/3, 22).
If a system has at least one solution, it is said to be consistent .
Therefore, answer is consistent.
Hope this will helpful.
Thank you.
