Respuesta :

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

  • y = 2x - 4
  • y = x + 1

Solution

  • 2x - 4 = x + 1
  • x = 5
  • y = 6

(5, 6)

Q3

  • y = -3x + 3
  • 6x + 2y = 6

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

  • 1 = -1

No solution

Q5

  • y = 1/2x + 2
  • y = x + 1

Solution

  • 1/2x + 2 = x + 1
  • 1/2x = 1
  • x = 2
  • y = 3

(2, 3)