Question

How many points of intersection does this system have? y = 3 x minus 4. Negative 3 x y = 4. Zero points of intersection one point of intersection two points of intersection an infinite number of points of intersection.

Answer 1

A point of intersection is a point where two lines or curves meet.

There are zero points of intersection.

Given

The equations are;

$\rm y = 3x-4\\\\-3x+y=4$

What is the point of intersection?

A point of intersection is a point where two lines or curves meet.

There are two methods to find a point of intersection graphically by graphing the curves on the same graph and identifying their points and another one is to solve the equation and find the value of x and y.

Adding both the equation

$\rm y-3x-3x+y=-4+4\\\\2y=6x\\\\y=3x$

Substitute the value of y in the equation

$\rm y=3x-4\\\\3x=3x-4\\\\3x-3x=-4\\\\0=-4$

Hence, there are zero points of intersection.

To know more about the point of intersection click the link given below.

brainly.com/question/7039469