Question: Explain what happens when a system of two linear equations is inconsistent. What effect does it have in obtaining a solution? What would the graph
Explain what happens when a system of two linear equations is inconsistent. What effect does it have in obtaining a solution? What would the graph of such a system look like?
Choose the correct answer below.
a. When a system of two linear equations is inconsistent, there is no solution. This means that there is no point (x,y) that satisfies both equations. The graph of such a system yields two parallel lines.
b. When a system of two linear equations is inconsistent, there is no solution. This means that there is no point (x,y) that satisfies both equations. The graph of such a system yields two perpendicular lines.
c. When a system of two linear equations is inconsistent, there are infinitely many solutions. This means that every point (x,y) satisfies both equations. The graph of such a system yields two identical lines.
d. When a system of two linear equations is inconsistent, there is no solution. This means that there is no point (x,y) that satisfies both equations. The graph of such a system yields two identical lines.
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