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A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many

solutions, which statement must be true?
A) On the graph, there are no points (z, y) that satisfy both equations.
B) On the graph, there is exactly one point (z,y) that satisfies both the equations.
C) On the graph, any point (z,y) that satisfies one of the equations cannot satisfy the other equation.
D) On the graph, any point (z,y) that satisfies one of the equations must also satisfy the other equation.

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If a system of two linear equations has infinitely many solutions, then any point that satisfies one of the equations must also satisfy the other equation. Therefore, the correct answer is D) On the graph, any point (z,y) that satisfies one of the equations must also satisfy the other equation.
User Taro Sato
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