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Igoryamba
3 years ago
7

Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the fi

rst line? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?
Mathematics
2 answers:
andrew-mc [135]3 years ago
6 0

Answer:

Step-by-step explanation:

-5x - 1 = 2x + 6

-7x - 1 = 6

-7x = 7

x = -1

y = 2(-1) + 6

y = -2 + 6

y = 4

(-1, 4)

Alex_Xolod [135]3 years ago
4 0

What is the slope of the first line?  

✔ –5

What is the slope of the second line?  

✔ 2

How many times do the lines intersect?  

✔ 1

How many solutions does the system have?  

✔ 1

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Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

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So, being |3x-9|≤15

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