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Algebra
/ Systems of two linear equations in two variables
Difficulty: Easy
A system of two linear equations is graphed in the xy-plane below.
Which of the following points is the solution to the system of equations?
1
2
3
4
5
6
7
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9
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112
Explanation
Choice A is correct. The solution to this system of linear equations is the point that lies on both lines graphed, or the point of intersection of the two lines. According to the graphs, the point of intersection occurs when and
, or at the point
.
Choices B and D are incorrect. Each of these points lies on one line, but not on both lines in the xy-plane. Choice C is incorrect. This point doesn’t lie on either of the lines graphed in the xy-plane.