Answer:
infinite number of solutions
Explanation:
2x + 3y = 6 → (1)
- 4x - 6y = - 12 → (2)
multiplying (1) by 2 and adding to (2) eliminates the variables
4x + 6y = 12 → (3)
add (2) and (3) term by term
(- 4x + 4x) + (- 6y + 6y) = - 12 + 12 , that is
0 + 0 = 0, or
0 = 0 ← true statement
this true statement indicates there are an infinite number of solutions