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Pls answer this for me, I'm trying to catch up in math and i don't understand. I arranged them in random order​

Pls answer this for me, I'm trying to catch up in math and i don't understand. I arranged-example-1

1 Answer

9 votes

Answer:

The first system goes with the last graph.

The second system goes with the first graph.

The last system goes with the second graph.

Explanation:

In the first system, both equations are equal if you put both of the equations in simplified slope-intercept form. When the equations are exactly equal to each other, the lines are the same. And only in the last graph, the line are the exact same line.

In the second system, you can tell even without putting the equations in slope-intercept form that the only difference between the lines are the y-intercepts. When lines have the same slope but different y-intercepts, the lines are parallel, which is shown in graph 1.

For the last system, by elimination, the system matches with the second graph. In this system, you can tell that both the slopes and y-intercepts are different, which means that this equation would actually have one solution, as shown in graph 2.

Sorry it took a while, hope I was able to help. Good Luck!

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