graph these equations, then determine how many solutions the system has.\nx - y = -2\n2x - y = -4\none…

graph these equations, then determine how many solutions the system has.\nx - y = -2\n2x - y = -4\none solution\ninfinitely many solutions\nno solution

graph these equations, then determine how many solutions the system has.\nx - y = -2\n2x - y = -4\none solution\ninfinitely many solutions\nno solution

Answer

Explanation:

Step1: Rewrite equations in slope - intercept form

For $x - y=-2$, we get $y=x + 2$ where slope $m_1 = 1$ and y - intercept $b_1=2$. For $2x - y=-4$, we get $y = 2x+4$ where slope $m_2=2$ and y - intercept $b_2 = 4$.

Step2: Analyze slopes and intercepts

Since $m_1\neq m_2$ (1 $\neq$ 2), the two lines are not parallel. Non - parallel lines in a plane intersect at exactly one point.

Answer:

One solution