Question

How many points of intersection does this system have?

y = 3x-4
-3x+y=4
zero points of intersection
one point of intersection
two points of intersection
an infinite number of points of intersection

Answer 1

The system of equations has zero points of intersection.

Step-by-step explanation:

The given system of equations is:

y = 3x-4

-3x+y=4

To find the points of intersection, we can solve the system by substitution or elimination method.

Let's solve the system by substitution:

1. Substitute the value of y from the first equation into the second equation:
2. -3x + (3x-4) = 4
3. -3x + 3x - 4 = 4
4. -4 = 4
5. Since the last equation is not true, there is no solution to the system of equations.

Therefore, the system has zero points of intersection.