The points of intersection are: (3,0) and (-3,0).
System of Equations
A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other. For solving this question, you will apply the addition method.
The question gives two equations:
x²-y²=9 (1)
x²+y²=9 (2)
When you sum equations 1 and 2, you eliminate y² . Thus, from this sum, you will have:
2x²=18
x²=9
x=±3
If x=±3, you should replace these values in one of the given equations. For example, when you choose the equation 1, you have:
For x=3
3²-y²=9
9-y²=9
-y²=9-9
-y²=0
y=0
For x=-3
(-3)²-y²=9
9-y²=9
-y²=9-9
-y²=0
y=0
Therefore, the points of intersection are: (3,0) and (-3,0)
Read more about solving systems equations here:
brainly.com/question/12691830
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