For the pair of linear equations $3x+2y=12$ and $-x+y=3$, what does the graphical solution represent? 
AThe slope of the steeper line
BThe $x$-intercept of the first line
CThe point where the two lines intersect
DThe midpoint of the segment joining the intercepts
Answer & Solution
Correct answer: C. The point where the two lines intersect
For a pair of linear equations, the graphical solution is the ordered pair $(x,y)$ that satisfies both equations simultaneously. On the graph, this is exactly the point where the two straight lines intersect. That is why the solution is represented by the intersection point.
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