Answer:
True
No solution
Step-by-step explanation:
The system of equations is
x + y +2 = 15 (1)
2x + 2 = 1 (2)
2y - 2 = 7 (3)
Subtract 2 from both sides of Eq (2)
==> 2x + 2 - 2 = 1 - 2
==> 2x = -1
==> x = - 1/2 = - 0.5
Add 2 to both sides of Eq (3)
2y - 2 + 2 = 7 + 2
2y = 9
y = 9/2 = 4.5
Plug in values for x and y in Eq (1)
x + y + 2 = 15 becomes
- 0.5 + 4.5 + 2 = 15
==> 6 = 15 which is false
This is an inconsistent system of equations. and therefore has no solution
