Question

The two lines graphed below are parallel. How many solutions are there to the system of equations?

Answer 1

Answer:

There is Zero solution to the system of equation.  

Step-by-step explanation:

Consider the provided graph.

The solutions for the system of equations are the values of the variables that simultaneously make both equations true.

Parallel lines are the lines on a plane that never meet. They are always apart from the same distance.

Now consider the provided graph.

From the above definition, it is clear that the parallel lines never intersect. Also, the line has no solution or we can say Zero solution because there are no such variables that simultaneously make both equations true.

Also, the lines never intersect each other. Thus there is zero solution.

Hence, there is Zero solution to the system of equation.

Answer 2

Solutions just means the amount of times the lines intersect, so there are no solutions. Since the lines are parallel, they’re going the exact same direction forever and ever, never intersecting. Hope this helps!