Question 128686
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Discussion
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<p style="font: courier">
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. 
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<h3 style="font: bold times">
Solution
</h3>
<p style="font: courier">
The given point is (0,3)


{{{4x-3y=9}}}
{{{4(0)-3(3)=0-9=-9<>9}}}


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).
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<h3 style="font: bold times">
Check Answer
</h3>
<p style="font: courier">
From the sketch you can see that the given point is NOT the point of
intersection of the two lines.


{{{drawing(400,400,-5,5,-5,5,
grid(1),
graph(400,400,-5,5,-5,5,4x/3-3,-x/6+3),
circle(0,3,.1),
locate(.3,2.7,P(0,3))
)}}}
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