SOLUTION: Hi, Can you help me with this math problem? Determine whether the given point is in the solution set to the given system. 12.) (3,-2) x-2y=7 x^2+y^2=13 The

Algebra ->  Systems-of-equations -> SOLUTION: Hi, Can you help me with this math problem? Determine whether the given point is in the solution set to the given system. 12.) (3,-2) x-2y=7 x^2+y^2=13 The      Log On


   



Question 136737: Hi,
Can you help me with this math problem?
Determine whether the given point is in the solution set to the given system.
12.) (3,-2)
x-2y=7
x^2+y^2=13
The answer should be yes

Answer by solver91311(24713) About Me  (Show Source):
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An ordered pair is an element of the solution set of a system of equations if and only if substitution of the coordinate values in each of the equations results in a true statement. So, substitute 3 for x and -2 for y into each of the equations. If both equation statements are true, then the ordered pair is a solution, otherwise not.