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The coordinates below represent two linear equations.


How many solutions does this system of equations have?


Line 1

x     y

–2   7

0     6

Line 2

x   y

3   0

0  –3



A.

0


B.

exactly 1


C.

exactly 2


D.

infinitely many

Verified Answer :

konrad509

Line 1
\(m=\dfrac{7-6}{-2-0}=-\dfrac{1}{2}\)

Line 2
\(m=\dfrac{0-(-3)}{3-0}=\dfrac{3}{3}=1\)

Both lines have different slopes which means they're certainly not parallel and therefore they have one intersection point. So there is one solution.

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