Question

True or False: The following system of equations has a solution.

Answer 1

False. The two graphed equations are parallel to each other and never intersect. Therefore, there is no point where the two equations share a solution.

Answer 2

Let us look at the slope of the two lines .

Slope of line can be found by rise/ run.

For the top line slope = -3/3=-1

Slope of bottom line is 4/-4=-1

Since the slope of both lines are same so the lines are parallel.When lines intersect at one point then we have one solution .If the lines overlap each other then we have infinite solution.

When lines are parallel they will not meet at any point so there will be no solution.

The given system of equation has no solution so it is False that the system of equation has one solution.