Answer:
Part 1)
-31x - 19y=95
-14x + 19 y = 76
The solution is the point (-3.8,1.2)
The system is consistent independent
Part 2)
31x - 19y=95
14x + 19y = 76
The solution is the point (3.8,1.2)
The system is consistent independent
Part 3)
31x + 19y = 95
14x - 19y = 76
The solution is the point (3.8,-1.2)
The system is consistent independent
Step-by-step explanation:
Part 1) we have
-31x-19y=95 -----> equation A
-14x+19y=76 ---> equation B
Solve the system of equations by elimination
Adds equation A and equation B
-31x-14x=95+76
-45x=171
x=-3.8
Find the value of y
-14(-3.8)+19y=76
19y=76-53.2
y=22.8/19=1.2
The solution is the point (-3.8,1.2)
The system has only one solution
therefore
The system is consistent independent
Part 2) we have
31x-19y=95 -----> equation A
14x+19y=76 ---> equation B
Solve the system of equations by elimination
Adds equation A and equation B
31x+14x=95+76
45x=171
x=3.8
Find the value of y
14(3.8)+19y=76
19y=76-53.2
y=22.8/19=1.2
The solution is the point (3.8,1.2)
The system has only one solution
therefore
The system is consistent independent
Part 3) we have
31x+19y=95 -----> equation A
14x-19y=76 ---> equation B
Solve the system of equations by elimination
Adds equation A and equation B
31x+14x=95+76
45x=171
x=3.8
Find the value of y
14(3.8)-19y=76
-19y=76-53.2
y=-22.8/19=-1.2
The solution is the point (3.8,-1.2)
The system has only one solution
therefore
The system is consistent independent
