Answer:
- Q1. No solution
- Q2. (5, 6)
- Q3. Infinitely many solutions
- Q4. No solution
- Q5. (2, 3)
Step-by-step explanation:
Q1.
- y = -1/3x - 1
- x + 3y = -12
Solution
- x + 3(-1/3x - 1) = -12
- x - x - 3 = -12
- -3 = -12
No solution
Q2
Solution
(5, 6)
Q3
Solution
- 6x + 2(-3x + 3) = 6
- 6x - 6x + 6 = 6
- 6 = 6
Infinitely many solutions
Q4
- - 5x + y = 1
- - 10x + 2y = -2 ⇒ -5x + y = -1
Solution
No solution
Q5
Solution
- 1/2x + 2 = x + 1
- 1/2x = 1
- x = 2
- y = 3
(2, 3)