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Softa [21]
3 years ago
5

Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3

Mathematics
1 answer:
Alchen [17]3 years ago
8 0
Let's try the actual solution of the system

<span>y = –2x + 1
y = –2x – 3

Note that the slopes of the graphs of these two lines are the same:  -2.

That means that the lines are parallel to one another.

Only the y-intercepts (1 and -3) are different.

Since the 2 lines never intersect, the system has no solution.

</span>
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The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

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I like to show it in this other way:


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