y = -6x+2\n-12x - 2y = -4\nhow many solutions does this linear system have?\none solution: (0, 0)\none…

y = -6x+2\n-12x - 2y = -4\nhow many solutions does this linear system have?\none solution: (0, 0)\none solution: (1, -4)\nno solution\ninfinite number of solutions

y = -6x+2\n-12x - 2y = -4\nhow many solutions does this linear system have?\none solution: (0, 0)\none solution: (1, -4)\nno solution\ninfinite number of solutions

Answer

Answer:

infinite number of solutions

Explanation:

Step1: Rewrite second - equation

Starting with $-12x - 2y=-4$, divide each term by $-2$. We get $6x + y = 2$, which can be rewritten as $y=-6x + 2$.

Step2: Analyze the system

The first equation is $y=-6x + 2$ and the second equation, after manipulation, is also $y=-6x + 2$. Since the two equations represent the same line, every point on the line is a solution. So there are an infinite number of solutions.