Question

Y = -6x+2

-12x-2y = -4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1,-4)
Ono solution
O infinite number of solutions

Answer 1

infinite number of solutions

Explanation:

Answer 2

infinite number of solutions

Explanation:

Given equations:

• y = -6x+2
• -12x - 2y = -4

Rearrange the second equation to make y the subject:

⇒ -12x - 2y = -4

⇒ -12x - 2y + 2y = -4 + 2y

⇒ -12x = -4 + 2y

⇒ -12x + 4 = -4 + 2y + 4

⇒ -12x + 4 = 2y

⇒ (-12x + 4) ÷ 2 = 2y ÷ 2

⇒ y = -6x + 2

Comparing the rearranged equation with the first equation, we can see that both equations are the same.

Therefore, as there is only one line, there are an infinite number of solutions.