Classify the system of equations.
-
X=3- y
-7+ y = -x-2
NH

Part 1) Is a consistent independent system, because has exactly one solution.

Part 2) Is a inconsistent system, because has no solution.

Step-by-step explanation:

Part 1) we have

we have

isolate the variable y

-----> equation A

isolate the variable y

----> equation B

Solve the system by elimination

Adds equation A and equation B

Find the value of x

substitute the value of y in equation A or equation B

The solution is the point (1,4)

therefore

Is a consistent independent system, because has exactly one solution.

Part 2) we have

we have

isolate the variable y

-----> equation A

isolate the variable y

----> equation B

Compare equation A and equation B

Line A and Line B have the same slope (m=-1) and different y-intercept

so

Line A and Line B are different parallel lines

The system has no solution

therefore

Is a inconsistent system, because has no solution.