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Pani-rosa [81]
3 years ago
13

(08.01) Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of eq

uations has infinitely many solutions?
Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
<h3>The equation for line P is 2x + 2y = -2</h3>

<em><u>Solution:</u></em>

The two lines have infinitely many Solutions, then the lines overlap at every point

To have infinitely many solutions, the lines must be identical consisting of exactly the same points to make it

Which means, in simplest form their equations are the same

x + y = -1

Multiply by 2

2x + 2y = -2

Thus, equation for line P is 2x + 2y = -2

Now we have,

Line M : x + y = -1

Lin P : 2x + 2y = -2

Similarly, we can obtain many equations for line P so that set of equations has infinitely many solutions

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