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

Question

Classify the system of equations.

X=3- y
-7+ y = -x-2
NH

in progress 0
3 weeks 2021-09-27T13:28:14+00:00 1 Answer 0

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.