When graphed in the (x,y) coordinate plane, at what point do the lines x + y = 5 and y = 7 intersect?
The correct answer is B.
If x + y = 5 and y = 7, then x + 7 = 5 and x = 2. The point of intersection is (2,7).
Check: 2 + 7 = 5 and 7 = 7, so (2,7) is on both lines.
A, C, D, E cannot be correct since two distinct lines intersect in at most one point, and (2,7) is the point of intersection, so none of the points in A, C, D, and E can be on both lines.
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