Answer:
The system of equations has infinite solutions
Explanation:
∵ y = -3x - 7 ⇒ (1)
∵ -6x - 2y = 14 ⇒ (2)
→ Substitute y in equation (2) by equation (1)
∴ -6x - 2(-3x - 7) = 14
→ Simplify the left side
∵ -6x - 2(-3x) - 2(-7) = 14
∴ -6x + 6x + 14 = 14
→ Add the like terms in the left side
∵ (-6x + 6x) + 14 = 14
∴ 0 + 14 = 14
∴ 14 = 14
∵ The variable is disappeared and the two sides of the equation equal
∴ The equation has many solutions
→ That means x and y can be any numbers
∴ The system of equations has infinite solutions