Question 1182581
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The point (5,3) means x = 5 and y = 3 pair up together.


Replace x and y with 5 and 3 in that order for each equation.


We'll start with the first equation
x^2-3y = 34
5^2-3(3) = 34
25-9 = 34
16 = 34
We get a false statement at the end, so the given point is <u>not</u> a solution to the system.
Both equations must be true at the same time in order to get a solution.


For the sake of completeness, I'll show the other equation as well
2x+y = 7
2(5)+3 = 7
10+3 = 7
13 = 7
This is false as well. Even if it was true, the first equation being false is sufficient to conclude that the point isn't a solution.


Answer: No, it's not a solution.
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