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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 :

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

There are zero points of intersection.

Given

The equations are;

[tex]\rm y = 3x-4\\\\-3x+y=4[/tex]

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

[tex]\rm y-3x-3x+y=-4+4\\\\2y=6x\\\\y=3x[/tex]

Substitute the value of y in the equation

[tex]\rm y=3x-4\\\\3x=3x-4\\\\3x-3x=-4\\\\0=-4[/tex]

Hence, there are zero points of intersection.

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

https://brainly.com/question/7039469

Answer:

A

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