# (simple) find where the graph intresect

• seto6
In summary, finding where the graph intersects is a method used to determine the points at which two or more lines on a graph cross each other. This can be achieved through substitution, elimination, or graphing. The point of intersection represents the values of the variables at which the two lines cross and can provide insight into their relationship. There can be more than one point of intersection on a graph, each representing a unique set of values for the variables. This concept has practical applications in fields such as economics, physics, and engineering.
seto6

f(x,y)=(2x2+y2-5
f(x.y)=2xy-1

non

## The Attempt at a Solution

i set both of then equal to each other and i got the following:
2x2+y2-2xy-4=0
\after this step I am kind of lost...

not sure what to do

also not sure how to separate the x and the y

some1 pls..

## 1. What is the purpose of finding where the graph intersects?

The purpose of finding where the graph intersects is to determine the points at which two or more lines on a graph cross each other. This can provide valuable information about the relationship between the variables represented on the graph.

## 2. How do I find where the graph intersects?

To find where the graph intersects, you can use the method of substitution, elimination, or graphing. Each method involves manipulating the equations of the lines to solve for the variables and find the point of intersection.

## 3. What does the point of intersection represent?

The point of intersection on a graph represents the values of the variables at which the two lines cross. This point is where the x and y coordinates of the lines are equal, and it can provide insight into the relationship between the two variables.

## 4. Can there be more than one point of intersection on a graph?

Yes, there can be multiple points of intersection on a graph if there are more than two lines that cross each other. Each point represents a unique set of values for the variables on the graph.

## 5. How can finding where the graph intersects be applied in real life?

Finding where the graph intersects can be applied in various real-life situations, such as in economics to determine the point of equilibrium between supply and demand, in physics to calculate the point of impact of two moving objects, or in engineering to analyze the intersection of multiple lines representing different parameters of a system.

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