Question

1.Given the lines shown here, what are two possible equations for this system of equations
2.How many solutions does this system have?

Answer 1

Answer:

Two possible equations:

$y = x + 1\\y = x - 5$

The system has 0 solution as parallel lines never cross each other.

Step-by-step explanation:

Considering the two lines are parallel, they both have the same slope.

let m be the slope of the two lines:

$y = mx + y_{0}\\y=mx+y_{1}$

$y_{0}, y_{1}$ are the value on y axis where the two lines cross the axis.

Because the lines are parallel, there exists no point that lies on both lines, therefore the system has 0 solution.