SOLUTION: Tell wether the ordered pair is a solution of the linear system. (0,3); 4x - 3y = 9 x + 6y = 18 Help with this equation would be appreciated.

Algebra ->  Equations -> SOLUTION: Tell wether the ordered pair is a solution of the linear system. (0,3); 4x - 3y = 9 x + 6y = 18 Help with this equation would be appreciated.      Log On


   



Question 128686: Tell wether the ordered pair is a solution of the linear system.
(0,3);
4x - 3y = 9
x + 6y = 18
Help with this equation would be appreciated.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Discussion



An ordered pair is the solution to a system of two linear equations if and only
if the coordinates of the ordered pair, when substituted into each of the
equations, make both of the equations true statements.





Solution



The given point is (0,3)

4x-3y=9
4%280%29-3%283%29=0-9=-9%3C%3E9

Therefore the given point is NOT an element of the set of points that comprise
the line defined by the equation 4x-3y=9, and the given point is NOT a
solution to the system. It doesn't matter whether the point fits the other
equation or not (it does, in fact - check it yourself).





Check Answer



From the sketch you can see that the given point is NOT the point of
intersection of the two lines.