Using the graph of $3x+2y=12$ and $-x+y=3$, what is the solution of the system? 
A$\left(\frac{6}{5},\frac{21}{5}\right)$
B$(3,3)$
C$(4,0)$
D$\left(\frac{21}{5},\frac{6}{5}\right)$
Answer & Solution
Correct answer: A. $\left(\frac{6}{5},\frac{21}{5}\right)$
The graph shows the two lines intersecting at $\left(\frac{6}{5},\frac{21}{5}\right)$. That point satisfies both equations, so it is the solution of the system. Option D reverses the coordinates, which is a common error.
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